Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 14 · 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 rectangular field is 18 m long and 15 m wide. What is its area (in sq m)?
2. 2.A garden is 11 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)?
3. 3.A garden is 30 m long and 11 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
4. 4.A park is 48 m long and 34 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
5. 5.The perimeter of a square is 28 cm. What is its area (in sq cm)?
6. 6.The perimeter of a square is 20 cm. What is its area (in sq cm)?
7. 7.The perimeter of a square is 52 cm. What is its area (in sq cm)?
8. 8.A rectangular field is 28 m long and 21 m wide. What is its area (in sq m)?
9. 9.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its perimeter (in cm)?
10. 10.A rectangular field is 11 m long and 8 m wide. What is its area (in sq m)?
11. 11.A rectangular field is 5 m long and 3 m wide. What is its area (in sq m)?
12. 12.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
13. 13.A garden is 18 m long and 12 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
14. 14.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
15. 15.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its perimeter (in cm)?
16. 16.The perimeter of a square is 60 cm. What is its area (in sq cm)?
17. 17.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
18. 18.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
19. 19.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
20. 20.A rectangular field is 28 m long and 19 m wide. What is its area (in sq m)?
21. 21.A park is 20 m long and 6 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
22. 22.A rectangle has an area of 450 sq cm and a length of 30 cm. What is its perimeter (in cm)?
23. 23.A rectangle has an area of 266 sq cm and a length of 38 cm. What is its perimeter (in cm)?
24. 24.A triangle has a base of 29 cm and a height of 8 cm. What is its area (in sq cm)?
25. 25.A park is 45 m long and 25 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
26. 26.A triangle has a base of 22 cm and a height of 15 cm. What is its area (in sq cm)?
27. 27.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
28. 28.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
29. 29.A garden is 32 m long and 28 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
30. 30.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its perimeter (in cm)?
31. 31.A rectangular field is 30 m long and 23 m wide. What is its area (in sq m)?
32. 32.A park is 27 m long and 15 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
33. 33.The perimeter of a square is 96 cm. What is its area (in sq cm)?
34. 34.A garden is 10 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)?
35. 35.A rectangular field is 17 m long and 7 m wide. What is its area (in sq m)?
36. 36.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its perimeter (in cm)?
37. 37.A rectangle has an area of 396 sq cm and a length of 22 cm. What is its perimeter (in cm)?
38. 38.A rectangle has an area of 45 sq cm and a length of 9 cm. What is its perimeter (in cm)?
39. 39.A garden is 20 m long and 8 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
40. 40.A triangle has a base of 6 cm and a height of 24 cm. What is its area (in sq cm)?

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