Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 222 · 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 15 m long and 14 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
2. 2.A garden is 29 m long and 10 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
3. 3.A rectangular field is 30 m long and 8 m wide. What is its area (in sq m)?
4. 4.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
5. 5.A park is 14 m long and 9 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
6. 6.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
7. 7.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its perimeter (in cm)?
8. 8.A garden is 10 m long and 5 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
9. 9.A rectangular field is 11 m long and 5 m wide. What is its area (in sq m)?
10. 10.A park is 49 m long and 32 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
11. 11.A garden is 39 m long and 13 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
12. 12.A rectangular field is 10 m long and 7 m wide. What is its area (in sq m)?
13. 13.A rectangular field is 22 m long and 18 m wide. What is its area (in sq m)?
14. 14.A rectangle has an area of 24 sq cm and a length of 6 cm. What is its perimeter (in cm)?
15. 15.The perimeter of a square is 32 cm. What is its area (in sq cm)?
16. 16.A rectangular field is 40 m long and 29 m wide. What is its area (in sq m)?
17. 17.A garden is 13 m long and 11 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
18. 18.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
19. 19.A triangle has a base of 4 cm and a height of 9 cm. What is its area (in sq cm)?
20. 20.A park is 41 m long and 16 m wide. Fencing costs ₹37 per metre. What does it cost to fence the park all round (in ₹)?
21. 21.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
22. 22.A rectangle has an area of 210 sq cm and a length of 35 cm. What is its perimeter (in cm)?
23. 23.A park is 24 m long and 7 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
24. 24.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its perimeter (in cm)?
25. 25.A rectangular field is 5 m long and 3 m wide. What is its area (in sq m)?
26. 26.A garden is 16 m long and 12 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
27. 27.A garden is 15 m long and 10 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
28. 28.A rectangular field is 30 m long and 17 m wide. What is its area (in sq m)?
29. 29.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
30. 30.A garden is 18 m long and 17 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
31. 31.A triangle has a base of 24 cm and a height of 12 cm. What is its area (in sq cm)?
32. 32.A triangle has a base of 14 cm and a height of 6 cm. What is its area (in sq cm)?
33. 33.A rectangular field is 36 m long and 7 m wide. What is its area (in sq m)?
34. 34.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
35. 35.The perimeter of a square is 52 cm. What is its area (in sq cm)?
36. 36.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
37. 37.A rectangle has an area of 100 sq cm and a length of 25 cm. What is its perimeter (in cm)?
38. 38.A rectangle has an area of 999 sq cm and a length of 37 cm. What is its perimeter (in cm)?
39. 39.A park is 11 m long and 9 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
40. 40.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).

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