Area of the Shapes

Solved Questions on Area of Shapes

1. What is the area of a rectangle with a length of 6 units and a width of 4 units?

a) 12 sq units
b) 24 sq units
c) 16 sq units
d) 10 sq units

Answer: b) 24 sq units

Explanation: Area of rectangle = length x width
= l x w
= 6 x 4
= 24 sq units

2. What is the area of the triangle if it has a height of 32 cm and a base of 4 cm?

a) 64 cm²
b) 43 cm²
c) 24 cm²
d) 16 cm²

Answer: a) 64 cm²

Explanation: Area of triangle = (base x height)/2
= ½ x 32 x 4
= 64 cm²

3. If the length of a rectangular prism is 2 cm, its width is 3 cm and its height is 5 cm. What is the surface area of a rectangular prism?

a) 52 cm²
b) 62 cm²
c) 75 cm²
d) 79 cm²

Answer: b) 62 cm²

Explanation: The surface area of a rectangular prism = 2lw + 2lh + 2wh
= (2 x 2 x 3) + (2 x 2 x 5) + (2 x 3 x 5)
= 62 cm²

4. What is the total surface area of a cylinder, if the height of the cylinder is 3 cm, and the diameter is 8 cm?

a) 56 cm²
b) 116 cm²
c) 176 cm²
d) 256 cm²

Answer: c) 176 cm²

Example: Total surface area of the cylinder = 2πr (r + h)
2 x π x 4(4+3) = 176 cm²

5. A farmer has a square field with an area of 144 m². What is the length of one side of the field?

a) 12 m
b) 14 m
c) 16 m
d) 18 m

Answer: a) 12 m

Explanation: The given field is in the form of square.
We know that A = a²
144 = a²
Therefore a = 12 m

6. If the base and area of a parallelogram are 10 cm and 250 cm², then find its height.

a) 15 cm
b) 18 cm
c) 22 cm
d) 25 cm

Answer: d) 25 cm

Explanation: Area = b x h
h = Area/b = 250/10 = 25 cm

Practice Questions on Area of Shapes

1. A cylinder has a radius of 4 cm and a height of 6 cm. What is the total surface area of the cylinder?

a) 96π cm²
b) 50π cm²
c) 80π cm²
d) 48π cm²

Answer: c) 80π cm²

2. A square has a perimeter of 48 cm. Find its side and area.

a) 12, 144
b) 13, 169
c) 20, 200
d) 25, 625

Answer: a) 12, 144

3. If the area and height of a right-angle triangle is 42 cm² and 14 cm, then find its base.

a) 8 cm
b) 6 cm
c) 9 cm
d) 12 cm

Answer: b) 6 cm

4. A triangular garden has a base of 10 m and a height of 6 m. What is the area of the garden?

a) 30 m²
b) 32 m²
c) 41 m²
d) 56 m²

Answer: a) 30 m²

5. A rectangular room is 12 feet long and 8 feet wide. What is the area of the room?

a) 96 ft²
b) 108 ft²
c) 112 ft²
d) 121 ft²

Answer: a) 96 ft² 

6. A square tile has a side length of 6 inches. What is the area of the tile?

a) 36 in²
b) 42 in²
c) 48 in²
d) 52 in²

Answer: a) 36 in²

7. A circular pizza has a diameter of 14 inches. What is the area of the pizza?

a) 121 in²
b) 143 in²
c) 149 in²
d) 154 in²

Answer: d) 154 in²

8. A trapezium has a height of 12 m, a base of 5 m, and a top base of 8 m. What is the area of the trapezium?

a) 52 m²
b) 66 m²
c) 78 m²
d) 89 m²

Answer: c) 78 m²

9. A cube has a side length of 6 cm. What is the surface area of the cube?

a) 523 cm²
b) 427 cm²
c) 389 cm²
d) 216 cm²

Answer: d) 216 cm²

10. A spherical ball has a radius of 10 cm. What is the surface area of the ball in cm²?

a) 400π
b) 350π
c) 200π
d) 120π

Answer: a) 400π