Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 206 · 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 28 m long and 23 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 garden is 23 m long and 19 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
3. 3.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
4. 4.The perimeter of a square is 80 cm. What is its area (in sq cm)?
5. 5.A park is 57 m long and 17 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
6. 6.A rectangular field is 25 m long and 4 m wide. What is its area (in sq m)?
7. 7.A rectangle has an area of 403 sq cm and a length of 31 cm. What is its perimeter (in cm)?
8. 8.A triangle has a base of 14 cm and a height of 14 cm. What is its area (in sq cm)?
9. 9.The perimeter of a square is 60 cm. What is its area (in sq cm)?
10. 10.A park is 22 m long and 20 m wide. Fencing costs ₹23 per metre. What does it cost to fence the park all round (in ₹)?
11. 11.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
12. 12.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
13. 13.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
14. 14.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
15. 15.A rectangular field is 16 m long and 5 m wide. What is its area (in sq m)?
16. 16.A rectangular field is 12 m long and 5 m wide. What is its area (in sq m)?
17. 17.A park is 42 m long and 33 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
18. 18.A rectangle has an area of 240 sq cm and a length of 30 cm. What is its perimeter (in cm)?
19. 19.A triangle has a base of 28 cm and a height of 15 cm. What is its area (in sq cm)?
20. 20.A rectangular field is 35 m long and 31 m wide. What is its area (in sq m)?
21. 21.A rectangle has an area of 135 sq cm and a length of 27 cm. What is its perimeter (in cm)?
22. 22.A triangle has a base of 20 cm and a height of 7 cm. What is its area (in sq cm)?
23. 23.A park is 29 m long and 14 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
24. 24.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
25. 25.A garden is 12 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)?
26. 26.A garden is 40 m long and 33 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
27. 27.A park is 48 m long and 44 m wide. Fencing costs ₹27 per metre. What does it cost to fence the park all round (in ₹)?
28. 28.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its perimeter (in cm)?
29. 29.A rectangle has an area of 621 sq cm and a length of 27 cm. What is its perimeter (in cm)?
30. 30.A park is 14 m long and 12 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
31. 31.A park is 28 m long and 14 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
32. 32.A triangle has a base of 9 cm and a height of 14 cm. What is its area (in sq cm)?
33. 33.A rectangle has an area of 72 sq cm and a length of 24 cm. What is its perimeter (in cm)?
34. 34.A garden is 30 m long and 23 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
35. 35.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)?
36. 36.The perimeter of a square is 76 cm. What is its area (in sq 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 garden is 34 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)?
39. 39.A rectangular field is 17 m long and 12 m wide. What is its area (in sq m)?
40. 40.A park is 15 m long and 8 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?

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