PERIMETER AND AREA

 

Worksheet 1

Perimeter and Area (Class 7 NCERT)

Section A: Fill in the Blanks

1. The formula for the perimeter of a rectangle is _____.
2. The area of a square with side length $s$ is given by _____.
3. The perimeter of a circle is also called its _____.
4. The area of a triangle is calculated as $\frac{1}{2}\times \mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\times \mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}\mathrm{\_}$
   
5. The area of a parallelogram is _____.

Section B: Multiple Choice Questions (MCQs)

6. What is the perimeter of a square with a side length of 6 cm?

   • a) 24 cm
   • b) 12 cm
   • c) 36 cm
   • d) 18 cm

7. The area of a rectangle with length 8 cm and breadth 5 cm is:

   • a) 40 sq cm
   • b) 13 sq cm
   • c) 30 sq cm
   • d) 80 sq cm

8. A circle has a radius of 7 cm. Its circumference is:

   • a) $44$ cm
   • b) $154$ cm
   • c) $21$ cm
   • d) $49$ cm

9. The area of a triangle with a base of 10 cm and height of 8 cm is:

   • a) 40 sq cm
   • b) 80 sq cm
   • c) 20 sq cm
   • d) 60 sq cm

10. The length of a rectangle is doubled while keeping the breadth constant. Its area will:

    • a) Double
    • b) Remain the same
    • c) Triple
    • d) Become half

Section C: Solve the Following

11. Find the perimeter and area of a square whose side is 12 cm.
12. Calculate the area and perimeter of a rectangle with length 15 m and breadth 10 m.
13. A triangle has a base of 14 cm and a height of 10 cm. Find its area.
14. Find the circumference of a circle with a radius of 14 cm. Take $\pi =22/7$
    
15. The area of a parallelogram is 96 sq cm, and its base is 12 cm. Find its height.

Section D: Word Problems

16. A rectangular garden has a length of 20 m and breadth of 15 m. A path 2 m wide runs along its boundary inside the garden. Find the area of the path.
17. A circular park has a radius of 21 m. A road 3 m wide runs along its boundary outside. Find the area of the road. Take $/7$
    
18. A square-shaped field has a side of 30 m. A rectangular playground inside it measures 20 m by 10 m. Find the area of the remaining field.
19. A farmer has a triangular field with sides measuring 15 m, 17 m, and 8 m. Find its area using Heron’s formula.
20. A piece of cloth is in the shape of a parallelogram with a base of 25 cm and a height of 16 cm. Find its area.