Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 48 · 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 21 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)?
2. 2.A rectangle has an area of 806 sq cm and a length of 31 cm. What is its perimeter (in cm)?
3. 3.A rectangle has an area of 115 sq cm and a length of 23 cm. What is its perimeter (in cm)?
4. 4.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
5. 5.A garden is 35 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)?
6. 6.A garden is 33 m long and 26 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
7. 7.A rectangular field is 31 m long and 14 m wide. What is its area (in sq m)?
8. 8.A rectangular field is 20 m long and 14 m wide. What is its area (in sq m)?
9. 9.A rectangular field is 12 m long and 8 m wide. What is its area (in sq m)?
10. 10.A garden is 25 m long and 21 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
11. 11.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
12. 12.A park is 59 m long and 52 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
13. 13.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
14. 14.The perimeter of a square is 76 cm. What is its area (in sq cm)?
15. 15.A garden is 20 m long and 5 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
16. 16.A triangle has a base of 28 cm and a height of 16 cm. What is its area (in sq cm)?
17. 17.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its perimeter (in cm)?
18. 18.A park is 19 m long and 12 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
19. 19.A garden is 38 m long and 13 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
20. 20.A triangle has a base of 4 cm and a height of 23 cm. What is its area (in sq cm)?
21. 21.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its perimeter (in cm)?
22. 22.The perimeter of a square is 56 cm. What is its area (in sq cm)?
23. 23.A park is 47 m long and 37 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
24. 24.A rectangle has an area of 240 sq cm and a length of 16 cm. What is its perimeter (in cm)?
25. 25.A garden is 16 m long and 8 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
26. 26.The perimeter of a square is 96 cm. What is its area (in sq cm)?
27. 27.The perimeter of a square is 12 cm. What is its area (in sq cm)?
28. 28.The perimeter of a square is 104 cm. What is its area (in sq cm)?
29. 29.A rectangle has an area of 138 sq cm and a length of 23 cm. What is its perimeter (in cm)?
30. 30.A rectangular field is 33 m long and 10 m wide. What is its area (in sq m)?
31. 31.A rectangular field is 20 m long and 12 m wide. What is its area (in sq m)?
32. 32.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its perimeter (in cm)?
33. 33.The perimeter of a square is 16 cm. What is its area (in sq cm)?
34. 34.The perimeter of a square is 28 cm. What is its area (in sq cm)?
35. 35.A rectangular field is 30 m long and 28 m wide. What is its area (in sq m)?
36. 36.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
37. 37.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
38. 38.A triangle has a base of 10 cm and a height of 7 cm. What is its area (in sq cm)?
39. 39.A park is 52 m long and 34 m wide. Fencing costs ₹18 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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