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# Worksheet on Area of the Shapes

## Worksheet of 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

## Quick Video Recap

In this section, you will find interesting and well-explained topic-wise video summary of the topic, perfect for quick revision before your Olympiad exams.

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