Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 65 · 40 questions

The method (Round and inside): Rectangle: area = l × b, perimeter = 2 × (l + b). Square: area = side × side, perimeter = 4 × side. Triangle: area = ½ × base × height. Circle (π = 22/7): area = π × r × r, circumference = 2 × π × r. Path outside a garden: (l + 2w) × (b + 2w) − l × b.

1. 1.A garden is 38 m long and 24 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
2. 2.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
3. 3.A rectangular field is 8 m long and 6 m wide. What is its area (in sq m)?
4. 4.A triangle has a base of 11 cm and a height of 8 cm. What is its area (in sq cm)?
5. 5.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
6. 6.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
7. 7.A rectangle has an area of 116 sq cm and a length of 29 cm. What is its perimeter (in cm)?
8. 8.A rectangle has an area of 126 sq cm and a length of 14 cm. What is its perimeter (in cm)?
9. 9.A park is 31 m long and 5 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
10. 10.The perimeter of a square is 24 cm. What is its area (in sq cm)?
11. 11.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
12. 12.A garden is 38 m long and 31 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
13. 13.A garden is 35 m long and 12 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
14. 14.A rectangular field is 34 m long and 4 m wide. What is its area (in sq m)?
15. 15.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
16. 16.A park is 40 m long and 34 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
17. 17.A garden is 24 m long and 7 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
18. 18.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its perimeter (in cm)?
19. 19.A rectangular field is 30 m long and 26 m wide. What is its area (in sq m)?
20. 20.A rectangular field is 23 m long and 21 m wide. What is its area (in sq m)?
21. 21.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
22. 22.The perimeter of a square is 104 cm. What is its area (in sq cm)?
23. 23.A park is 23 m long and 6 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
24. 24.A garden is 15 m long and 14 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
25. 25.A rectangular field is 38 m long and 9 m wide. What is its area (in sq m)?
26. 26.A rectangle has an area of 304 sq cm and a length of 38 cm. What is its perimeter (in cm)?
27. 27.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
28. 28.A triangle has a base of 4 cm and a height of 6 cm. What is its area (in sq cm)?
29. 29.A triangle has a base of 22 cm and a height of 20 cm. What is its area (in sq cm)?
30. 30.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
31. 31.A rectangle has an area of 81 sq cm and a length of 27 cm. What is its perimeter (in cm)?
32. 32.A garden is 11 m long and 9 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
33. 33.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
34. 34.A triangle has a base of 21 cm and a height of 4 cm. What is its area (in sq cm)?
35. 35.A garden is 20 m long and 5 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
36. 36.A rectangular field is 14 m long and 4 m wide. What is its area (in sq m)?
37. 37.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
38. 38.A garden is 37 m long and 7 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
39. 39.A garden is 33 m long and 13 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
40. 40.The perimeter of a square is 76 cm. What is its area (in sq cm)?

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