PE4MA6 Perimeters of Plane Figures

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Questions and Answers

What is the formula for finding the perimeter of a rectangle?

  • 2 x length + 2 x width (correct)
  • length x width
  • length + width + length
  • length + width

If a rectangle has a length of 100 cm and a width of 40 cm, what is its perimeter?

  • 320 cm
  • 240 cm
  • 280 cm (correct)
  • 300 cm

What does the perimeter of a plane figure represent?

  • The volume of the figure
  • The length of the boundaries of the figure (correct)
  • The height of the figure
  • The area covered by the figure

Which steps are essential for measuring the perimeter of a rectangle?

<p>Use a tape measure to go around the figure (A)</p> Signup and view all the answers

In the formula for the perimeter of a rectangle, what does 'w' represent?

<p>Width (B)</p> Signup and view all the answers

What mistake would lead to an incorrect calculation of a rectangle's perimeter?

<p>Adding only opposite sides (D)</p> Signup and view all the answers

How can you express the perimeter of a rectangle in different units?

<p>By converting lengths to decimeters (B)</p> Signup and view all the answers

Which of the following is NOT a plane figure?

<p>Cube (D)</p> Signup and view all the answers

What is the first step in measuring the perimeter of a rectangle?

<p>Put the 0 mark of the tape measure at one corner (D)</p> Signup and view all the answers

What are the dimensions of the rectangle in Example 2?

<p>Length 13 m and width 11 m (C)</p> Signup and view all the answers

What is the perimeter of a triangle with sides measuring 26 m, 24 m, and 10 m?

<p>60 m (B)</p> Signup and view all the answers

How is the perimeter of a rectangular football ground calculated?

<p>2 x (Length + Width) (A)</p> Signup and view all the answers

What total distance did the pupil cover in the example provided?

<p>6 km (B)</p> Signup and view all the answers

What is the perimeter of a square table with a length of 8 metres?

<p>24 m (B)</p> Signup and view all the answers

A triangular field has sides measuring 15, 20, and 25 metres. What is the perimeter?

<p>50 m (A)</p> Signup and view all the answers

What is the perimeter of a square flower garden that is 25 m long?

<p>100 m (A)</p> Signup and view all the answers

If a teacher's garden has a length of 20 metres, what is its perimeter?

<p>100 m (C)</p> Signup and view all the answers

In the example, what was the length of the shortcut taken by the pupil returning home?

<p>1 km (D)</p> Signup and view all the answers

How many sides does a triangle have?

<p>3 (A)</p> Signup and view all the answers

What is the formula to calculate the perimeter of a rectangle?

<p>2 × (Length + Width) (C)</p> Signup and view all the answers

If the length of a rectangle is 13 m and the width is 11 m, what is its perimeter?

<p>48 m (B)</p> Signup and view all the answers

What does the length of four sides of an exercise book represent?

<p>The perimeter of the book (D)</p> Signup and view all the answers

What is the perimeter of a square if each side measures 20 cm?

<p>80 cm (A)</p> Signup and view all the answers

How do you calculate the perimeter of a triangle?

<p>Adding the lengths of its three sides (D)</p> Signup and view all the answers

What is the perimeter of a square with a side length of 13 m?

<p>52 m (C)</p> Signup and view all the answers

What is the perimeter of a square that has a side length of 18 m?

<p>54 m (A)</p> Signup and view all the answers

If a rectangle has a length of 20 metres and a width of 12 metres, what is its perimeter?

<p>64 m (D)</p> Signup and view all the answers

Which of the following represents the perimeter of a square?

<p>4 × Length (B)</p> Signup and view all the answers

If a rectangular garden has a length of 1200 m and a width of 80 m, what is its perimeter?

<p>2600 m (B)</p> Signup and view all the answers

What is the perimeter of a triangle with sides measuring 17 cm each?

<p>51 cm (A)</p> Signup and view all the answers

Furaha calculated the perimeter of her square garden of side length 7 m. What is the perimeter in centimeters?

<p>56 cm (C)</p> Signup and view all the answers

What is the perimeter of a rectangle with a length of 80 mm and a width of 50 mm, converted to centimeters?

<p>26 cm (A)</p> Signup and view all the answers

What would be the perimeter of a square whose side length is 4 m?

<p>16 m (B)</p> Signup and view all the answers

If Jamila ran around a rectangular field with a length of 100 m and a width of 70 m, what is the total distance she covered?

<p>340 m (C)</p> Signup and view all the answers

The perimeter of square A is 4 m. If two identical squares form a rectangle B, what is the correct perimeter of rectangle B?

<p>8 m (B)</p> Signup and view all the answers

What is the perimeter of a rectangular shed with a length of 28 m and a width of 4 m?

<p>64 m (A)</p> Signup and view all the answers

If a piece of fabric measures 2 m by 1 m, what is its perimeter in centimeters?

<p>400 cm (B)</p> Signup and view all the answers

A gardener wants to put a fence around a rectangular plot that is 10 metres long by 6 metres wide. If the fencing material costs $1.50 per metre, what will be the total cost?

<p>$48 (D)</p> Signup and view all the answers

A rectangular tablecloth measures 3 meters in length and 2 meters in width. If a decorative trim is to be sewn around its edge, how many meters of trim are required?

<p>10 meters (A)</p> Signup and view all the answers

A rectangular picture frame has a perimeter of 120 cm. If its length is 40 cm, what is its width?

<p>20 cm (D)</p> Signup and view all the answers

A rectangular playground is 100 meters long and 60 meters wide. If you were to run around the perimeter three times, how far would you have run in kilometers?

<p>0.96 km (C)</p> Signup and view all the answers

A rectangular garden is twice as long as it is wide. If the width of the garden is 7 meters, what is its perimeter?

<p>42 m (D)</p> Signup and view all the answers

The perimeter of a rectangular rug is 36 meters. If the length of the rug is 10 meters, what is the area of the rug in square meters?

<p>80 sq m (C)</p> Signup and view all the answers

A rectangular park has a length of 150 meters and a width of 80 meters. How much fencing would be needed to enclose the park?

<p>460 meters (C)</p> Signup and view all the answers

A farmer wants to build a fence around his rectangular field that measures 45 meters long and 25 meters wide. What is the total length of the fencing material needed?

<p>140 m (D)</p> Signup and view all the answers

If the perimeter of a rectangle is 40 cm and its width is 8 cm, what is the length of the rectangle?

<p>12 cm (C)</p> Signup and view all the answers

A rectangle has a perimeter of 56 cm. If the length is 16 cm, what is the width?

<p>12 cm (D)</p> Signup and view all the answers

A rectangular park has a length of 150 meters. If the perimeter is 500 meters, what is the width of the park?

<p>100 meters (C)</p> Signup and view all the answers

A triangle has two sides of 12 cm and 15 cm. If the perimeter is 36 cm, what is the length of the third side?

<p>9 cm (A)</p> Signup and view all the answers

A square field is to be fenced. If the total length of fencing is 120 meters, what is the length of one side of the field?

<p>30 meters (B)</p> Signup and view all the answers

A rectangular garden has a length that is twice its width. If the perimeter is 72 meters, what is the width of the garden?

<p>12 meters (D)</p> Signup and view all the answers

If a rectangular piece of land has a length of 18 meters and a width that is $1/3$ of its length, what's the perimeter?

<p>48 meters (D)</p> Signup and view all the answers

A route consists of three straight paths forming a triangle. If two paths measure 400 m and 600 m respectively, and the total route distance is 1500 m, what is the length of the third path?

<p>500 meters (C)</p> Signup and view all the answers

The perimeter of a square is 60 cm. If the side length is increased by 5 cm, what is the new perimeter?

<p>80 cm (A)</p> Signup and view all the answers

A rectangular field has a length of 45 m and an area of 1350 sq m. What is the perimeter?

<p>150 m (B)</p> Signup and view all the answers

Two identical triangles are placed together to form a parallelogram. If one side of the triangle is 10 cm, another is 12 cm and the last is 14 cm, what is the perimeter of the parallelogram when they are arranged such that the 14cm sides are joined?

<p>44 cm (D)</p> Signup and view all the answers

A square and a rectangle have the same perimeter. If the side length of the square is 16 cm and the width of the rectangle is 10 cm, what is the length of the rectangle?

<p>22 cm (A)</p> Signup and view all the answers

A rectangular field has a length that is twice its width. If the perimeter of the field is 360 meters, what is the width of the field?

<p>60 meters (C)</p> Signup and view all the answers

Two identical squares are arranged side-by-side to form a rectangle. If the perimeter of the rectangle is 48 cm, what is the perimeter of one of the original squares?

<p>32 cm (B)</p> Signup and view all the answers

A triangle has two sides of equal length, and the third side is $5 \text{ cm}$ shorter than either of the other sides. If the perimeter of the triangle is $55\text{ cm}$, what is the length of the third side?

<p>15 cm (D)</p> Signup and view all the answers

A square with a side of 10 cm is cut into four identical smaller squares. What is the sum of the perimeters of the four smaller squares?

<p>80 cm (A)</p> Signup and view all the answers

A rectangular garden has a perimeter of 400 meters. The length of the garden is three times the width. What is the area of the garden?

<p>7500 $m^2$ (D)</p> Signup and view all the answers

A wire is bent into the shape of a rectangle with a length of 12 cm and a width of 8 cm. If the wire is straightened and then bent into a square, what will be the side length of the square?

<p>10 cm (D)</p> Signup and view all the answers

A rectangle’s length is increased by 20% and its width is decreased by 20%. If the original perimeter was 100 cm what can be said of the new perimeter?

<p>There is not enough information to tell (A)</p> Signup and view all the answers

A square of side 8cm is placed alongside a rectangle of sides 8cm and 4cm. What is the total perimeter of the shape created by combining these two shapes?

<p>40 cm (D)</p> Signup and view all the answers

A farmer wants to fence a triangular plot of land. Two of the sides measure 20 m each. If the farmer has exactly 70 m of fencing, what is the maximum whole number length the third side can be?

<p>29m (D)</p> Signup and view all the answers

A rectangular field has a perimeter of 56 m. If the length of the field is 16 m, what is the width?

<p>12 m (C)</p> Signup and view all the answers

A rectangular piece of fabric is 150 cm long and 80 cm wide. If a strip of fabric 10 cm in width is cut off from all sides, what is the perimeter of the remaining piece of fabric?

<p>420 cm (C)</p> Signup and view all the answers

A square and an equilateral triangle have the same perimeter. The side length of the square is 12 cm. What is the side length of the triangle?

<p>16 cm (D)</p> Signup and view all the answers

A rectangle has a length that is twice its width. If the perimeter is 72 cm, what are the dimensions of the rectangle?

<p>Length 24 cm, width 12 cm (B)</p> Signup and view all the answers

Two identical squares are placed side-by-side to form a rectangle. If the perimeter of the rectangle is 96 cm, what is the perimeter of each square?

<p>64 cm (C)</p> Signup and view all the answers

A triangle has two sides of equal length. If the perimeter of the triangle is 45 cm and the third side is 15 cm, what is the length of each of the equal sides?

<p>15 cm (B)</p> Signup and view all the answers

A rectangle has a length of 25 m and a width of 15m. If the length is increased by 5m and the width decreased by 3m, what is the change in the perimeter of the new rectangle compared to the original?

<p>Increased by 4m (B)</p> Signup and view all the answers

The perimeter of a square is 1 meter. What is the length of each side in centimeters?

<p>25 cm (D)</p> Signup and view all the answers

A rectangular garden has a length of 10m and width of 7m. If a fence is to be built around the perimeter at a cost of $20 per meter, what is the total cost?

<p>$680 (C)</p> Signup and view all the answers

A square and a triangle have the same perimeter. The triangle is an equilateral with each side of 10m. What is the length of one side of the square?

<p>7.5 m (C)</p> Signup and view all the answers

A triangle has sides in the ratio 3:4:5. If the perimeter of the triangle is 48 cm, what is the length of the longest side?

<p>20 cm (B)</p> Signup and view all the answers

What is the perimeter of a rectangle with a length of 12 cm and a width of 8 cm?

<p>40 cm (D)</p> Signup and view all the answers

A rectangular garden has a length of 15 meters and a width of 9 meters. What is the perimeter of the garden?

<p>48 m (B)</p> Signup and view all the answers

If the length of a rectangle is 20 cm and it's perimeter is 80cm, what is its width?

<p>20 cm (A)</p> Signup and view all the answers

A rectangular piece of land is 10 meters wide and 25 meters long. How many meters of fencing are needed to enclose it?

<p>70 m (B)</p> Signup and view all the answers

What is the total length of the boundary of a rectangle that measures 150 cm in length and half of that in width?

<p>450 cm (A)</p> Signup and view all the answers

A rectangle has two sides of 20 m and the perimeter is 100 m. What is the length of the other two sides?

<p>30 m each (D)</p> Signup and view all the answers

If the perimeter of a rectangle is 42 m and the width is 9 m, what is the length of the rectangle?

<p>12 m (A)</p> Signup and view all the answers

A rectangle has a length that is twice its width. if its width is 6 meters, what is the perimeter?

<p>36 m (C)</p> Signup and view all the answers

A rectangular field is 30 m long. If the total perimeter around the field is 100 m, what is the width?

<p>20 m (D)</p> Signup and view all the answers

The perimeter of a rectangular garden is 68 meters. If the length is 20 meters, what is the width?

<p>14 m (C)</p> Signup and view all the answers

A square has a side length of 11 cm. What is its perimeter?

<p>44 cm (B)</p> Signup and view all the answers

A triangle has sides with lengths of 8 m, 10 m, and 12 m. What is the perimeter of the triangle?

<p>30 m (B)</p> Signup and view all the answers

If a square picture frame has 50 cm sides, what length of trim is needed to go all the way around it?

<p>200 cm (D)</p> Signup and view all the answers

The side of a square tile is 35 cm. What is the perimeter?

<p>140 cm (B)</p> Signup and view all the answers

A rectangular garden measures 16 m by 7 m. What is its perimeter?

<p>46 m (A)</p> Signup and view all the answers

A triangular piece of land has sides measuring 25 m, 18 m, and 30 m. What is the total length of fencing needed to enclose this land?

<p>73 m (A)</p> Signup and view all the answers

A square has a perimeter of 100 cm. What is the length of one side?

<p>25 cm (D)</p> Signup and view all the answers

If a rectangle has a perimeter of 44 meters and width of 9 meters, what is its length?

<p>13 m (C)</p> Signup and view all the answers

The side lengths of a triangle are 6 cm, 8 cm and 10 cm. What is the triangles perimeter?

<p>24 cm (D)</p> Signup and view all the answers

What is the shape of the football ground described in Example 2?

<p>Rectangular (D)</p> Signup and view all the answers

If a square garden has sides of 20 meters, what is its perimeter?

<p>80 meters (B)</p> Signup and view all the answers

A triangle has sides of 84 cm, 85 cm, and 13 cm. What is its perimeter?

<p>182 cm (B)</p> Signup and view all the answers

Juma walks a path of school - market - hospital - home. If the distances are 1 km, 2 km and 3 km respectively, what is the total distance walked by Juma?

<p>6 km (C)</p> Signup and view all the answers

In the bicycle trip example, what was the total distance traveled by the pupil?

<p>6 km (B)</p> Signup and view all the answers

If a triangular field has sides measuring 15 m, 20 m, and 25 m, what is the perimeter of the field?

<p>60 m (C)</p> Signup and view all the answers

A square table has sides of 8 meters each. What is its perimeter?

<p>32 meters (C)</p> Signup and view all the answers

What calculation is used to find the perimeter of the rectangular football ground?

<p>2 * length + 2 * width (C)</p> Signup and view all the answers

What is the total distance covered by a pupil who travels 3 km to school, 2 km to the market, and then 1 km home?

<p>6 km (A)</p> Signup and view all the answers

What is the perimeter of a triangle with sides of 26 m, 24 m, and 10 m?

<p>60 meters (D)</p> Signup and view all the answers

A rectangle has a length of 15 m and a width of 8 m. What is its perimeter?

<p>46 m (D)</p> Signup and view all the answers

What is the perimeter of a triangle with sides measuring 9 cm, 12 cm, and 15 cm?

<p>36 cm (D)</p> Signup and view all the answers

A rectangular garden is 20 meters long and 10 meters wide. What length of fencing is required to enclose it?

<p>60 meters (A)</p> Signup and view all the answers

A square field has a side length of 14 meters. What is its perimeter?

<p>56 meters (C)</p> Signup and view all the answers

A rectangular playground is 120 m long and 75 m wide. What is its perimeter?

<p>390 m (C)</p> Signup and view all the answers

A triangle has sides of 11 cm, 13 cm and 17 cm. What is the perimeter?

<p>41 cm (D)</p> Signup and view all the answers

If a square has a perimeter of 36 cm, what is the length of one of its sides?

<p>9 cm (B)</p> Signup and view all the answers

A rectangular cloth has a perimeter of 24 meters. If its length is 7 meters, what is its width?

<p>5 m (A)</p> Signup and view all the answers

A triangle's sides are of equal length, and its perimeter is 45 cm. What is the length of one side?

<p>15 cm (A)</p> Signup and view all the answers

Flashcards

What is a perimeter?

The total length of the boundaries of a flat shape.

How do you find the perimeter of a rectangle?

The perimeter of a rectangle is calculated by adding all four sides together.

What is the formula for finding the perimeter of a rectangle?

The formula for the perimeter of a rectangle is: Perimeter = 2 * length + 2 * width

What is a square?

A square is a special type of rectangle where all sides are equal in length.

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How do you find the perimeter of a square?

You can calculate the perimeter of a square by adding up all four sides, or by multiplying the length of one side by 4.

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What is the formula for the perimeter of a square?

The formula for the perimeter of a square is: Perimeter = 4 * side

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How do you find the perimeter of a triangle?

The perimeter of a triangle is found by adding the lengths of all three sides.

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What units are used to measure perimeter?

Units of length like centimeters, meters, or kilometers are used to express the perimeter.

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What are real-life applications of perimeter?

Perimeter is a real-world concept used for tasks like building fences, calculating distances, and designing spaces.

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Perimeter

The total length of all the sides of a shape.

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Perimeter of Rectangle

The perimeter of a rectangle can be found by adding the lengths of all four sides.

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Perimeter of Square

The perimeter of a square is found by multiplying the length of one side by 4.

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Perimeter of Triangle

The perimeter of a triangle is the sum of the lengths of all three sides.

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Perimeter of a rectangle (formula)

The perimeter of a rectangle is calculated using the formula: Perimeter= 2 * Length + 2 * Width.

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Perimeter of a Square (formula)

Theperimeter of a square can be calculated using the formula: Perimeter= 4 * Side.

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How to find the perimeter of a square?

Measure the length of one side of the shape and multiply it by 4.

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How to find the perimeter of a rectangle?

Measure the length and width of the shape. Multiply the length by 2 and add it to 2 times the width.

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How to find the perimeter of a triangle?

Measure each side of the triangle and add them together.

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Units for measuring Perimeter

Units of length like centimeters, meters, or kilometers.

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How to find perimeter?

add up the lengths of all the sides of the shape.

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Perimeter of rectangle formula

Perimeter = 2 x (length + width)

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Perimeter of square formula

Perimeter = 4 x side

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Word problem

A word problem is a real-life situation written in words that requires you to use math to solve it.

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Total distance

The total distance covered by a person or object in a journey.

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Mathematical calculation

A mathematical calculation that involves adding, subtracting, multiplying or dividing numbers.

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Perimeter of a square with a side of 23 cm

If you know that one side of a square is 23 cm long, then its perimeter is found by multiplying the side length by 4. Therefore, the perimeter is 23 cm * 4 = 92 cm.

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Perimeter of a rectangular garden

The perimeter of a rectangular garden with a length of 1200 m and a width of 80 m is calculated as follows: Perimeter = 2(1200 m) + 2(80 m) = 2400 m + 160 m = 2560 m.

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Perimeter of an equilateral triangle

The perimeter of a triangle with each side measuring 17 cm is found by simply adding the side lengths together: Perimeter = 17 cm + 17 cm + 17 cm = 51 cm.

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Perimeter of a square with side length 16m

A square with a side length of 16 m has a perimeter of 4 * 16 m = 64 m.

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Distance covered by Jamila

Jamila ran a total distance of 2 * (100 m + 70 m) = 2 * 170 m = 340 m.

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Perimeter of a window

The perimeter of a window that is 3 m high and 2 m wide is found by adding up the lengths of all its sides: Perimeter = 2 * (3 m + 2 m) = 2 * 5 m = 10 m.

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Units of Perimeter

Perimeter is expressed in units of length such as meters (m), centimeters (cm), kilometers (km), etc.

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Total distance in perimeter problems

The distance covered by a person or object during a journey.

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Units of length for perimeter

Units of length like centimeters, meters, or kilometers used to express the perimeter.

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Real-life applications of perimeter

Perimeter is useful in various applications like building fences, calculating distances, and designing spaces.

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Word problems involving perimeter

A word problem presents a real-life situation written in words that requires mathematics to solve.

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Total distance around a shape

The total distance covered by an object moving around a shape.

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Perimeter calculation

Solving a problem by using mathematical calculations to find the perimeter of a shape.

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Word Problem with Perimeter

A word problem involving perimeter presents a real-life situation where you need to find the total distance around a shape.

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Total Distance Covered

The total distance covered by someone or something in a journey. Use the perimeter to determine the total distance traveled.

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Perimeter of a square with 23 cm side

The perimeter of a square with a side length of 23 cm is calculated by multiplying the side length by 4: Perimeter = 23 cm * 4 = 92 cm.

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Real-life uses of perimeter

Perimeter is a useful concept in real-life situations like calculating fencing for a garden, measuring the distance around a track, or designing the border of a room.

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Total distance covered in perimeter problems

In perimeter problems, you are essentially calculating the total distance covered by someone or something moving around a shape.

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Perimeter formula for a rectangle

To find the perimeter of a rectangle, you need to measure its length and width. Then, use the formula: Perimeter = 2 * (length + width).

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Perimeter formula for a square

To find the perimeter of a square, you only need to measure the length of one side. Then, multiply that side length by 4: Perimeter = 4 * side.

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What are word problems involving perimeter?

Word problems with perimeter present real-life situations where you need to find the total distance around a shape. They're disguised math problems!

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What is 'total distance' in perimeter word problems?

Total distance covered in a perimeter problem is the total length of the path traveled around the shape.

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What units are used for measuring perimeter?

Perimeter is measured in units of length, such as centimeters (cm), meters (m), kilometers (km), etc. It tells us the total distance around a shape.

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Where do we use perimeter in real life?

Perimeter has many real-life applications, like building fences, calculating distances, designing spaces, and more.

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What is the perimeter of a square garden with a side of 25 meters?

A square flower garden with a side length of 25 meters has a perimeter of 100 meters.

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What is the perimeter of a triangular field with sides of 15, 20, and 25 meters?

A triangular field with sides of 15 meters, 20 meters, and 25 meters has a perimeter of 60 meters.

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Perimeter Examples

The length of the rope needed to go around the window.

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Perimeter and Distance

The total distance covered by someone or something moving around a shape.

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Formulas for Perimeter

The perimeter of a shape is calculated using a formula specific to the shape, such as 2 * (length + width) for a rectangle or 4 * side for a square.

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Perimeter Word Problems

A word problem that involves finding the perimeter of a shape.

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Study Notes

Perimeters of Plane Figures

  • Perimeter is the total length of the boundaries of a two-dimensional shape.
  • Perimeters of rectangles, squares, and triangles are calculated using different formulas.

Perimeter of a Rectangle

  • Perimeter is the sum of all sides of the rectangle.
  • Formula: Perimeter = 2 × (length + width)
  • Perimeter can also be found by adding the lengths of all four sides.
  • The total length of the boundaries is the perimeter.

Perimeter of a Square

  • All sides of a square are equal in length.
  • Formula: Perimeter = 4 × side length

Perimeter of a Triangle

  • Perimeter is the sum of all three sides.
  • Formula: Perimeter = side 1 + side 2 + side 3

Real-life Applications

  • Calculating perimeter is used in construction, estimating distances, and various practical applications.
  • Examples include fencing a garden, determining the amount of material needed to cover a surface (carpets, fabric), or calculating the distances covered in travel.
  • Perimeter calculations are needed in different real-world situations like arranging or covering surfaces.
  • Perimeter is used in everyday situations to find the total length surrounding an object or area.

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