Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 323 · 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 12 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 rectangular field is 17 m long and 11 m wide. What is its area (in sq m)?
3. 3.A rectangle has an area of 792 sq cm and a length of 33 cm. What is its perimeter (in cm)?
4. 4.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
5. 5.A rectangular field is 11 m long and 9 m wide. What is its area (in sq m)?
6. 6.A rectangle has an area of 104 sq cm and a length of 26 cm. What is its perimeter (in cm)?
7. 7.The perimeter of a square is 72 cm. What is its area (in sq cm)?
8. 8.A triangle has a base of 25 cm and a height of 8 cm. What is its area (in sq cm)?
9. 9.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
10. 10.A rectangle has an area of 168 sq cm and a length of 21 cm. What is its perimeter (in cm)?
11. 11.A garden is 34 m long and 18 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
12. 12.The perimeter of a square is 108 cm. What is its area (in sq cm)?
13. 13.A park is 45 m long and 32 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
14. 14.A rectangle has an area of 95 sq cm and a length of 19 cm. What is its perimeter (in cm)?
15. 15.A garden is 19 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)?
16. 16.A rectangular field is 7 m long and 3 m wide. What is its area (in sq m)?
17. 17.The perimeter of a square is 20 cm. What is its area (in sq cm)?
18. 18.A rectangular field is 13 m long and 6 m wide. What is its area (in sq m)?
19. 19.A triangle has a base of 22 cm and a height of 9 cm. What is its area (in sq cm)?
20. 20.A garden is 40 m long and 28 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
21. 21.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
22. 22.A triangle has a base of 10 cm and a height of 15 cm. What is its area (in sq cm)?
23. 23.The perimeter of a square is 104 cm. What is its area (in sq cm)?
24. 24.The perimeter of a square is 36 cm. What is its area (in sq cm)?
25. 25.A park is 38 m long and 37 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
26. 26.A garden is 20 m long and 15 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
27. 27.The perimeter of a square is 120 cm. What is its area (in sq cm)?
28. 28.A garden is 39 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)?
29. 29.A garden is 28 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)?
30. 30.A garden is 25 m long and 8 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
31. 31.A garden is 19 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)?
32. 32.A park is 42 m long and 26 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
33. 33.A rectangle has an area of 714 sq cm and a length of 34 cm. What is its perimeter (in cm)?
34. 34.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
35. 35.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
36. 36.A triangle has a base of 30 cm and a height of 3 cm. What is its area (in sq cm)?
37. 37.A triangle has a base of 15 cm and a height of 4 cm. What is its area (in sq cm)?
38. 38.A rectangular field is 39 m long and 35 m wide. What is its area (in sq m)?
39. 39.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its perimeter (in cm)?
40. 40.A garden is 14 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)?

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