Podcast
Questions and Answers
What is the perimeter of a closed figure?
What is the perimeter of a closed figure?
- The longest side of the figure.
- The volume occupied by the figure.
- The area enclosed by the figure.
- The sum of the lengths of all the sides of the figure. (correct)
The perimeter of a shape can only be calculated for regular polygons.
The perimeter of a shape can only be calculated for regular polygons.
False (B)
Explain how the concept of perimeter might be useful for someone planning to install a fence around their backyard.
Explain how the concept of perimeter might be useful for someone planning to install a fence around their backyard.
To determine the extent of the fence material required.
Perimeter is the distance covered along the boundary forming a ______ figure when you go round the figure once.
Perimeter is the distance covered along the boundary forming a ______ figure when you go round the figure once.
A rectangular garden is 20 meters long and 10 meters wide. What is its perimeter?
A rectangular garden is 20 meters long and 10 meters wide. What is its perimeter?
Which of the following professions would MOST likely use the concept of perimeter in their day-to-day work?
Which of the following professions would MOST likely use the concept of perimeter in their day-to-day work?
Describe a real-world application of perimeter beyond fencing or building walls.
Describe a real-world application of perimeter beyond fencing or building walls.
Match the shape with the correct method to calculate its perimeter:
Match the shape with the correct method to calculate its perimeter:
Which of the following statements accurately describes the relationship between the area and perimeter of a rectangle?
Which of the following statements accurately describes the relationship between the area and perimeter of a rectangle?
The perimeter of an equilateral triangle is calculated by multiplying the length of one of its sides by 4.
The perimeter of an equilateral triangle is calculated by multiplying the length of one of its sides by 4.
A rectangle has a length of 8 units and a breadth of 5 units. What is its perimeter?
A rectangle has a length of 8 units and a breadth of 5 units. What is its perimeter?
Figures in which all sides and angles are equal are called ________ closed figures.
Figures in which all sides and angles are equal are called ________ closed figures.
Match the formula with the correct shape:
Match the formula with the correct shape:
A rectangle has a length of 12 cm and a breadth of 5 cm. What is its area?
A rectangle has a length of 12 cm and a breadth of 5 cm. What is its area?
The area of a square with a side of 7 cm is 49 sq cm.
The area of a square with a side of 7 cm is 49 sq cm.
A rectangular garden is 8 m long and has an area of 56 sq m. What is the width of the garden?
A rectangular garden is 8 m long and has an area of 56 sq m. What is the width of the garden?
The area of a rectangle is found by multiplying its ______ by its breadth.
The area of a rectangle is found by multiplying its ______ by its breadth.
If a square has an area of 81 sq m, what is the length of one of its sides?
If a square has an area of 81 sq m, what is the length of one of its sides?
To find the area of an irregular shape on a grid, you only count the fully filled squares.
To find the area of an irregular shape on a grid, you only count the fully filled squares.
A room is 5 m long and 4 m wide. What is the area of the floor?
A room is 5 m long and 4 m wide. What is the area of the floor?
The area of a square is calculated by multiplying the side by ______.
The area of a square is calculated by multiplying the side by ______.
How many tiles of size 0.5 m x 0.5 m are needed to cover a floor of 4 m x 3 m?
How many tiles of size 0.5 m x 0.5 m are needed to cover a floor of 4 m x 3 m?
A rectangle with sides 3 cm and 4 cm has the same area as a square with sides of 6 cm.
A rectangle with sides 3 cm and 4 cm has the same area as a square with sides of 6 cm.
The area of a rectangular piece of cardboard is 48 sq cm, and its width is 6 cm. What is the length?
The area of a rectangular piece of cardboard is 48 sq cm, and its width is 6 cm. What is the length?
The area of a square with a side of 9 m is ______ sq m.
The area of a square with a side of 9 m is ______ sq m.
Match the shape with its corresponding area calculation:
Match the shape with its corresponding area calculation:
A piece of cloth is 2 m long and 1.5 m wide. What is its area?
A piece of cloth is 2 m long and 1.5 m wide. What is its area?
When finding the area of a floor covered by a carpet, the area not covered by the carpet is found by adding the area of the floor to the area of the carpet.
When finding the area of a floor covered by a carpet, the area not covered by the carpet is found by adding the area of the floor to the area of the carpet.
A rectangular garden is 20 meters long and 10 meters wide. What is the perimeter of the garden?
A rectangular garden is 20 meters long and 10 meters wide. What is the perimeter of the garden?
The perimeter of a rectangle is found by adding the length and breadth together.
The perimeter of a rectangle is found by adding the length and breadth together.
What is the formula for the perimeter of a regular hexagon, where 's' represents the length of one side?
What is the formula for the perimeter of a regular hexagon, where 's' represents the length of one side?
The perimeter of a square is equal to 4 times the length of its ________.
The perimeter of a square is equal to 4 times the length of its ________.
Match the regular shape with the formula to calculate its perimeter:
Match the regular shape with the formula to calculate its perimeter:
If the perimeter of a square is 36 cm, what is the length of each side?
If the perimeter of a square is 36 cm, what is the length of each side?
A regular pentagon has 6 equal sides.
A regular pentagon has 6 equal sides.
A farmer needs to fence a rectangular field that is 100m long and 50m wide. What length of fencing is required?
A farmer needs to fence a rectangular field that is 100m long and 50m wide. What length of fencing is required?
The perimeter of an equilateral triangle with sides of 7 cm is _______ cm.
The perimeter of an equilateral triangle with sides of 7 cm is _______ cm.
An athlete runs 5 laps around a rectangular park that is 60 m long and 40 m wide. What is the total distance the athlete runs?
An athlete runs 5 laps around a rectangular park that is 60 m long and 40 m wide. What is the total distance the athlete runs?
Converting all measurements to the same unit is not important when calculating perimeter.
Converting all measurements to the same unit is not important when calculating perimeter.
What is the perimeter of a rectangle with a length of 8 cm and a width of 5 cm?
What is the perimeter of a rectangle with a length of 8 cm and a width of 5 cm?
If the length of a rectangle is 12 cm and its perimeter is 40 cm, then its breadth is _______ cm.
If the length of a rectangle is 12 cm and its perimeter is 40 cm, then its breadth is _______ cm.
A square field has a side length of 50 meters. What is the cost to fence the field if fencing costs $10 per meter?
A square field has a side length of 50 meters. What is the cost to fence the field if fencing costs $10 per meter?
The perimeter of a shape is the area it covers.
The perimeter of a shape is the area it covers.
A rectangular park has a length of 150 m and a breadth of 100 m. If a person runs 3 complete rounds of the park, how much distance will they cover?
A rectangular park has a length of 150 m and a breadth of 100 m. If a person runs 3 complete rounds of the park, how much distance will they cover?
The perimeter of a regular octagon with sides of 5 cm each is 45 cm.
The perimeter of a regular octagon with sides of 5 cm each is 45 cm.
The amount of surface enclosed by a closed figure is called its ______.
The amount of surface enclosed by a closed figure is called its ______.
Match the following shapes with the formulas to calculate their perimeters.
Match the following shapes with the formulas to calculate their perimeters.
A farmer wants to fence a rectangular field that is 120 m long and 80 m wide using 3 rows of wire. What is the total length of wire needed?
A farmer wants to fence a rectangular field that is 120 m long and 80 m wide using 3 rows of wire. What is the total length of wire needed?
To find the perimeter of an irregular polygon, you must measure the length of each side and add them together.
To find the perimeter of an irregular polygon, you must measure the length of each side and add them together.
The perimeter of a regular hexagon is 42 cm. What is the length of each side?
The perimeter of a regular hexagon is 42 cm. What is the length of each side?
When estimating area by counting squares on a grid, if more than half of a square is within the figure, you count it as ______ square.
When estimating area by counting squares on a grid, if more than half of a square is within the figure, you count it as ______ square.
What is the perimeter of an isosceles triangle with two sides equal to 7 cm each and a third side of 5 cm?
What is the perimeter of an isosceles triangle with two sides equal to 7 cm each and a third side of 5 cm?
A square and a rectangle can have the same perimeter, even if their areas are different.
A square and a rectangle can have the same perimeter, even if their areas are different.
A piece of string 60 cm long is used to form an equilateral triangle. How long is each side of the triangle?
A piece of string 60 cm long is used to form an equilateral triangle. How long is each side of the triangle?
To find the perimeter of a rectangle, you can use the formula: 2 × (length + ______).
To find the perimeter of a rectangle, you can use the formula: 2 × (length + ______).
Avneet arranges nine square paving slabs, each with a side of 0.5 m, in the form of a larger square. What is the perimeter of this arrangement?
Avneet arranges nine square paving slabs, each with a side of 0.5 m, in the form of a larger square. What is the perimeter of this arrangement?
Consider a shape drawn on a grid paper where each square is 1 cm x 1 cm. The shape covers 10 full squares, 5 half squares and has 3 squares that are more than half filled. Approximately what is the area of the shape?
Consider a shape drawn on a grid paper where each square is 1 cm x 1 cm. The shape covers 10 full squares, 5 half squares and has 3 squares that are more than half filled. Approximately what is the area of the shape?
Flashcards
Perimeter
Perimeter
The distance around a closed two-dimensional shape.
Perimeter of a polygon
Perimeter of a polygon
The sum of all the side lengths of a shape.
Meera's Park Round
Meera's Park Round
The distance covered by Meera around the park.
Perimeter of Meera's park
Perimeter of Meera's park
Signup and view all the flashcards
What is the perimeter of any closed figure?
What is the perimeter of any closed figure?
Signup and view all the flashcards
How to calculate the perimeter of a rectangle?
How to calculate the perimeter of a rectangle?
Signup and view all the flashcards
How to calculate the perimeter of a figure with 6 sides?
How to calculate the perimeter of a figure with 6 sides?
Signup and view all the flashcards
How to calculate the perimeter of a figure with 12 sides?
How to calculate the perimeter of a figure with 12 sides?
Signup and view all the flashcards
Rectangle
Rectangle
Signup and view all the flashcards
Perimeter of a Rectangle Formula
Perimeter of a Rectangle Formula
Signup and view all the flashcards
Square
Square
Signup and view all the flashcards
Perimeter of a Square Formula
Perimeter of a Square Formula
Signup and view all the flashcards
Equilateral Triangle
Equilateral Triangle
Signup and view all the flashcards
Perimeter of an Equilateral Triangle Formula
Perimeter of an Equilateral Triangle Formula
Signup and view all the flashcards
Regular Closed Figures
Regular Closed Figures
Signup and view all the flashcards
Regular Pentagon
Regular Pentagon
Signup and view all the flashcards
Perimeter of a Regular Pentagon Formula
Perimeter of a Regular Pentagon Formula
Signup and view all the flashcards
Regular Hexagon
Regular Hexagon
Signup and view all the flashcards
Perimeter of a Regular Hexagon Formula
Perimeter of a Regular Hexagon Formula
Signup and view all the flashcards
Regular Octagon
Regular Octagon
Signup and view all the flashcards
Perimeter of a Regular Octagon Formula
Perimeter of a Regular Octagon Formula
Signup and view all the flashcards
Area
Area
Signup and view all the flashcards
Rectangle Perimeter
Rectangle Perimeter
Signup and view all the flashcards
Square Perimeter
Square Perimeter
Signup and view all the flashcards
Equilateral Triangle Perimeter
Equilateral Triangle Perimeter
Signup and view all the flashcards
Perimeter of a Triangle
Perimeter of a Triangle
Signup and view all the flashcards
Perimeter of Square
Perimeter of Square
Signup and view all the flashcards
Perimeter of Rectangle
Perimeter of Rectangle
Signup and view all the flashcards
Regular Polygon
Regular Polygon
Signup and view all the flashcards
Perimeter of Regular Polygon
Perimeter of Regular Polygon
Signup and view all the flashcards
Square Unit
Square Unit
Signup and view all the flashcards
Area Rule: More Than Half
Area Rule: More Than Half
Signup and view all the flashcards
Area Rule: Less Than Half
Area Rule: Less Than Half
Signup and view all the flashcards
Area Rule: Exactly Half
Area Rule: Exactly Half
Signup and view all the flashcards
Isosceles Triangle
Isosceles Triangle
Signup and view all the flashcards
What is Area?
What is Area?
Signup and view all the flashcards
How to Estimate Area?
How to Estimate Area?
Signup and view all the flashcards
Area of a Rectangle
Area of a Rectangle
Signup and view all the flashcards
Area of a Square
Area of a Square
Signup and view all the flashcards
Finding Width of Rectangle
Finding Width of Rectangle
Signup and view all the flashcards
Number of Tiles Needed
Number of Tiles Needed
Signup and view all the flashcards
Units Consistency
Units Consistency
Signup and view all the flashcards
Area of Irregular Shapes
Area of Irregular Shapes
Signup and view all the flashcards
Units of Area
Units of Area
Signup and view all the flashcards
cm to meters
cm to meters
Signup and view all the flashcards
meters to cm
meters to cm
Signup and view all the flashcards
Area Measurement
Area Measurement
Signup and view all the flashcards
Perimeter Origin
Perimeter Origin
Signup and view all the flashcards
Composite Figure
Composite Figure
Signup and view all the flashcards
Study Notes
- Mensuration involves measuring the regions and boundaries of plane figures to compare them.
Perimeter
- Perimeter refers to the distance around a closed figure.
- It represents the length of wire or string needed to form the figure.
- Perimeter has practical applications such as fencing a field, building a compound wall, or preparing a sports track.
- Perimeter is found by summing the lengths of all sides of the closed figure.
Perimeter of a Rectangle
- Perimeter of a rectangle = 2 × (length + breadth)
- Example: A rectangular table cover that is 3 m long and 2 m wide requires 10 m of lace for the border.
Applications of Perimeter
- An athlete running 10 rounds of a rectangular park that is 50 m long and 25 m wide covers 1500 m.
- Fencing a rectangular field that is 240 m long and 180 m wide with 3 rounds of rope requires 2520 m of rope.
- The cost of fencing a rectangular park that is 250 m long and 175 m wide at a rate of
12 per meter is
10200.
Perimeter of Regular Shapes
- Regular closed figures have all sides and angles equal (e.g., squares and equilateral triangles).
- Perimeter of a square = 4 × length of a side
- Perimeter of an equilateral triangle = 3 × length of a side
- Perimeter of a regular pentagon = 5 × length of a side
- Perimeter of a regular hexagon = 6 × length of a side
Examples of Perimeter of Regular Shapes
- Shaina travels 840 m by taking three rounds of a square park with a side of 70 m.
- Pinky runs around a square field of side 75 m, covering 300 m, while Bob runs around a rectangular field with length 160 m and breadth 105 m, covering 530 m; Bob covers 230 m more than Pinky.
- The perimeter of a regular hexagon is 18 cm and length of each side is 3 cm.
Area
- Area refers to the amount of surface enclosed by a closed figure.
- Area is measured in square units (e.g., sq cm, sq m).
Calculating Area Using Squared Paper
- Count the number of squares enclosed by the figure.
- Full squares are counted as 1 sq unit.
- Ignore portions less than half a square.
- More than half a square counts as one square.
- Exactly half a square counts as 1/2 sq unit.
Area of a Rectangle
- Area of a rectangle = length × breadth
Area of a Square
- Area of a square = side × side
Examples of Area Calculations
- A rectangle with length 12 cm and breadth 4 cm has an area of 48 sq cm.
- The cost of tiling a rectangular plot of land that is 500 m long and 200 m wide at the rate of
8 per hundred sq m is
8000 - A room that is 4 m long and 3 m 50 cm wide requires 14 square meters of carpet to cover the floor.
- Covering the floor of a room that is 3 m wide and 4 m long with square tiles that are 0.5 m per side requires 48 tiles.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.