Math Gr 8 Ch 13 SUM: Area and Perimeter of 2D shapes

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What is the formula for the perimeter of a square?

P = s²

P = 4s (correct)

P = 3s

P = 2s

What is the formula for the area of a rectangle?

A = l - b

A = l × b (correct)

A = l ÷ b

A = l + b

What is the formula for the circumference of a circle?

C = 2πr (correct)

C = 2πd

C = πd

C = πr

What is the formula for the area of a circle?

A = πr² Signup and view all the answers

How do you convert between units of length?

By multiplying by a conversion factor Signup and view all the answers

What is the formula for the area of a triangle?

A = (1/2) × base × height Signup and view all the answers

How do you calculate the perimeter of a rectangle?

By adding the lengths of all sides Signup and view all the answers

What is the relationship between the radius and diameter of a circle?

d = 2r Signup and view all the answers

What is the formula for the perimeter of a rectangle?

P = 2l + 2b Signup and view all the answers

What is the unit of measurement for area?

mm², cm², m², km² Signup and view all the answers

What is the formula for the area of a square?

A = s^2 Signup and view all the answers

What is the formula for the circumference of a circle?

C = πd Signup and view all the answers

What is the formula for the area of a circle?

A = πr^2 Signup and view all the answers

How do you convert 1 km² to m²?

1 km² = 1,000,000 m² Signup and view all the answers

What is the purpose of using grids to approximate the area of a circle?

To estimate the area of the circle Signup and view all the answers

What is the main difference between perimeter and area?

Perimeter measures the boundary length, area measures the surface covered Signup and view all the answers

A rectangle has a length of 8 cm and a breadth of 5 cm. What is its perimeter?

26 cm Signup and view all the answers

What is the area of a square with a side of 6 mm?

36 mm² Signup and view all the answers

A circle has a diameter of 14 cm. What is its circumference?

44 cm Signup and view all the answers

What is the area of a circle with a radius of 3 cm?

9π cm² Signup and view all the answers

If a rectangle has a perimeter of 24 cm, and a length of 8 cm, what is its breadth?

4 cm Signup and view all the answers

What is the perimeter of a square with an area of 49 cm²?

28 cm Signup and view all the answers

A composite shape is made up of a rectangle and a triangle. If the rectangle has a length of 6 cm and a breadth of 4 cm, and the triangle has a base of 6 cm and a height of 4 cm, what is the total area of the composite shape?

48 cm² Signup and view all the answers

1 km² is equal to how many m²?

1,000,000 m² Signup and view all the answers

What is the distance around a shape measured in?

units of length Signup and view all the answers

What is the formula to calculate the area of a triangle?

A = 1/2 × base × height Signup and view all the answers

How do you find the perimeter of a composite shape?

Add the lengths of all sides of the shape Signup and view all the answers

What is the value of π used in calculating the circumference and area of a circle?

3.14 Signup and view all the answers

What is the unit of measurement for the area of a shape?

square centimeters Signup and view all the answers

How do you convert 1 meter to centimeters?

Multiply by 100 Signup and view all the answers

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

A = l × b Signup and view all the answers

What is the relationship between the radius and diameter of a circle?

diameter = 2 × radius Signup and view all the answers

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

48 cm Signup and view all the answers

If a square has an area of 64 cm², what is its perimeter?

32 cm Signup and view all the answers

A circle has a circumference of 44 cm. What is its radius?

6 cm Signup and view all the answers

What is the area of a triangle with a base of 8 cm and a height of 12 cm?

48 cm² Signup and view all the answers

If a rectangle has a length of 10 cm and a perimeter of 34 cm, what is its breadth?

6 cm Signup and view all the answers

What is the perimeter of a composite shape made up of a rectangle and a triangle, if the rectangle has a length of 8 cm and a breadth of 6 cm, and the triangle has a base of 8 cm and a height of 6 cm?

48 cm Signup and view all the answers

A circle has an area of 144π cm². What is its diameter?

16 cm Signup and view all the answers

If 1 km² is equal to 1,000,000 m², how many m² are in 0.5 km²?

500,000 m² Signup and view all the answers

A rectangular garden has a length of 15 meters and a breadth of 8 meters. If a path that is 2 meters wide is built around the garden, what is the area of the path?

76 m² Signup and view all the answers

A circle has a circumference of 44 cm. What is its area?

154 cm² Signup and view all the answers

A triangle has a base of 10 cm and a height of 12 cm. What is its area?

50 cm² Signup and view all the answers

A square has an area of 256 cm². What is its perimeter?

64 cm Signup and view all the answers

A rectangle has a length of 12 cm and a breadth of 8 cm. If its length is increased by 2 cm and its breadth is decreased by 1 cm, what is the percentage change in its area?

10% Signup and view all the answers

A circle has a radius of 7 cm. What is the area of the sector with a central angle of 60°?

26.4 cm² Signup and view all the answers

A composite shape is made up of a rectangle and a triangle. If the rectangle has a length of 10 cm and a breadth of 6 cm, and the triangle has a base of 8 cm and a height of 6 cm, what is the total area of the composite shape?

84 cm² Signup and view all the answers

A rectangular prism has a length of 8 cm, a breadth of 6 cm, and a height of 4 cm. What is the total surface area of the prism?

144 cm² Signup and view all the answers

A rectangular garden has a length of 15 meters and a breadth of 8 meters. If a path that is 3 meters wide is built around the garden, what is the perimeter of the path?

66 meters Signup and view all the answers

A circle has a sector with a central angle of 30°. If the area of the circle is 16π cm², what is the area of the sector?

4π cm² Signup and view all the answers

A composite shape is made up of a rectangle and a triangle. If the rectangle has a length of 10 cm and a breadth of 6 cm, and the triangle has a base of 8 cm and a height of 6 cm, what is the total perimeter of the composite shape?

38 cm Signup and view all the answers

A rectangular prism has a length of 8 cm, a breadth of 6 cm, and a height of 4 cm. What is the total surface area of the prism?

128 cm² Signup and view all the answers

A circle has a radius of 7 cm. What is the circumference of the circle?

44 cm Signup and view all the answers

A square has an area of 256 cm². If its side is increased by 25%, what is the new area of the square?

384 cm² Signup and view all the answers

A rectangle has a length of 12 cm and a breadth of 8 cm. If its length is increased by 20% and its breadth is decreased by 15%, what is the percentage change in its area?

8% Signup and view all the answers

A circle has an area of 144π cm². What is the diameter of the circle?

24 cm Signup and view all the answers

A rectangular garden measures 15 meters by 8 meters. A path that is 2 meters wide is built around the garden. What is the area of the path?

88 m² Signup and view all the answers

A circle has a sector with a central angle of 120°. If the radius of the circle is 5 cm, what is the area of the sector?

30π cm² Signup and view all the answers

A composite shape is made up of a rectangle and a triangle. If the rectangle has a length of 10 cm and a breadth of 6 cm, and the triangle has a base of 8 cm and a height of 6 cm, what is the total perimeter of the composite shape?

50 cm Signup and view all the answers

A rectangle has a length of 12 cm and a breadth of 8 cm. If its length is increased by 25% and its breadth is decreased by 20%, what is the percentage change in its area?

5% Signup and view all the answers

A circle has a circumference of 44 cm. What is the area of the circle?

144π cm² Signup and view all the answers

A triangle has a base of 10 cm and a height of 12 cm. What is its perimeter if the third side is 14 cm?

34 cm Signup and view all the answers

A rectangular prism has a length of 8 cm, a breadth of 6 cm, and a height of 4 cm. What is the total surface area of the prism?

156 cm² Signup and view all the answers

A circle has an area of 144π cm². What is the circumference of the circle?

44 cm Signup and view all the answers

What is the perimeter of a rectangle with a length of 9 cm and a breadth of 5 cm?

28 cm Signup and view all the answers

A circle has a radius of 4 cm. What is its area?

16π cm² Signup and view all the answers

A square has a perimeter of 36 cm. What is its area?

81 cm² Signup and view all the answers

A rectangle has a length of 8 cm and a breadth of 6 cm. If its length is increased by 2 cm and its breadth is decreased by 1 cm, what is the percentage change in its area?

12.5% Signup and view all the answers

A composite shape is made up of a rectangle and a triangle. If the rectangle has a length of 9 cm and a breadth of 5 cm, and the triangle has a base of 9 cm and a height of 5 cm, what is the total area of the composite shape?

Math Gr 8 Ch 13 SUM: Area and Perimeter of 2D shapes

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Questions and Answers

What is the formula for the perimeter of a square?

What is the formula for the area of a rectangle?

What is the formula for the circumference of a circle?

What is the formula for the area of a circle?

How do you convert between units of length?

What is the formula for the area of a triangle?

How do you calculate the perimeter of a rectangle?

What is the relationship between the radius and diameter of a circle?

What is the formula for the perimeter of a rectangle?

What is the unit of measurement for area?

What is the formula for the area of a square?

What is the formula for the circumference of a circle?

What is the formula for the area of a circle?

How do you convert 1 km² to m²?

What is the purpose of using grids to approximate the area of a circle?

What is the main difference between perimeter and area?

A rectangle has a length of 8 cm and a breadth of 5 cm. What is its perimeter?

What is the area of a square with a side of 6 mm?

A circle has a diameter of 14 cm. What is its circumference?

What is the area of a circle with a radius of 3 cm?

If a rectangle has a perimeter of 24 cm, and a length of 8 cm, what is its breadth?

What is the perimeter of a square with an area of 49 cm²?

A composite shape is made up of a rectangle and a triangle. If the rectangle has a length of 6 cm and a breadth of 4 cm, and the triangle has a base of 6 cm and a height of 4 cm, what is the total area of the composite shape?

1 km² is equal to how many m²?

What is the distance around a shape measured in?

What is the formula to calculate the area of a triangle?

How do you find the perimeter of a composite shape?

What is the value of π used in calculating the circumference and area of a circle?

What is the unit of measurement for the area of a shape?

How do you convert 1 meter to centimeters?

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

What is the relationship between the radius and diameter of a circle?

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

If a square has an area of 64 cm², what is its perimeter?

A circle has a circumference of 44 cm. What is its radius?

What is the area of a triangle with a base of 8 cm and a height of 12 cm?

If a rectangle has a length of 10 cm and a perimeter of 34 cm, what is its breadth?

What is the perimeter of a composite shape made up of a rectangle and a triangle, if the rectangle has a length of 8 cm and a breadth of 6 cm, and the triangle has a base of 8 cm and a height of 6 cm?

A circle has an area of 144π cm². What is its diameter?

If 1 km² is equal to 1,000,000 m², how many m² are in 0.5 km²?

A rectangular garden has a length of 15 meters and a breadth of 8 meters. If a path that is 2 meters wide is built around the garden, what is the area of the path?

A circle has a circumference of 44 cm. What is its area?

A triangle has a base of 10 cm and a height of 12 cm. What is its area?

A square has an area of 256 cm². What is its perimeter?

A rectangle has a length of 12 cm and a breadth of 8 cm. If its length is increased by 2 cm and its breadth is decreased by 1 cm, what is the percentage change in its area?

A circle has a radius of 7 cm. What is the area of the sector with a central angle of 60°?

A composite shape is made up of a rectangle and a triangle. If the rectangle has a length of 10 cm and a breadth of 6 cm, and the triangle has a base of 8 cm and a height of 6 cm, what is the total area of the composite shape?

A rectangular prism has a length of 8 cm, a breadth of 6 cm, and a height of 4 cm. What is the total surface area of the prism?

A rectangular garden has a length of 15 meters and a breadth of 8 meters. If a path that is 3 meters wide is built around the garden, what is the perimeter of the path?

A circle has a sector with a central angle of 30°. If the area of the circle is 16π cm², what is the area of the sector?

A composite shape is made up of a rectangle and a triangle. If the rectangle has a length of 10 cm and a breadth of 6 cm, and the triangle has a base of 8 cm and a height of 6 cm, what is the total perimeter of the composite shape?

A rectangular prism has a length of 8 cm, a breadth of 6 cm, and a height of 4 cm. What is the total surface area of the prism?

A circle has a radius of 7 cm. What is the circumference of the circle?

A square has an area of 256 cm². If its side is increased by 25%, what is the new area of the square?

A rectangle has a length of 12 cm and a breadth of 8 cm. If its length is increased by 20% and its breadth is decreased by 15%, what is the percentage change in its area?

A circle has an area of 144π cm². What is the diameter of the circle?

A rectangular garden measures 15 meters by 8 meters. A path that is 2 meters wide is built around the garden. What is the area of the path?

A circle has a sector with a central angle of 120°. If the radius of the circle is 5 cm, what is the area of the sector?

A composite shape is made up of a rectangle and a triangle. If the rectangle has a length of 10 cm and a breadth of 6 cm, and the triangle has a base of 8 cm and a height of 6 cm, what is the total perimeter of the composite shape?

A rectangle has a length of 12 cm and a breadth of 8 cm. If its length is increased by 25% and its breadth is decreased by 20%, what is the percentage change in its area?

A circle has a circumference of 44 cm. What is the area of the circle?

A triangle has a base of 10 cm and a height of 12 cm. What is its perimeter if the third side is 14 cm?

A rectangular prism has a length of 8 cm, a breadth of 6 cm, and a height of 4 cm. What is the total surface area of the prism?

A circle has an area of 144π cm². What is the circumference of the circle?

What is the perimeter of a rectangle with a length of 9 cm and a breadth of 5 cm?

A circle has a radius of 4 cm. What is its area?

A square has a perimeter of 36 cm. What is its area?

A rectangle has a length of 8 cm and a breadth of 6 cm. If its length is increased by 2 cm and its breadth is decreased by 1 cm, what is the percentage change in its area?

A composite shape is made up of a rectangle and a triangle. If the rectangle has a length of 9 cm and a breadth of 5 cm, and the triangle has a base of 9 cm and a height of 5 cm, what is the total area of the composite shape?

What is the perimeter of a square with a side length of 9 cm?

A rectangle has a length of 12 cm and a breadth of 8 cm. What is its area?

What is the circumference of a circle with a radius of 7 cm?

A triangle has a base of 10 cm and a height of 12 cm. What is its area?

What is the area of a circle with a diameter of 18 cm?

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