Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 58 · 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 27 m long and 6 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 rectangular field is 14 m long and 7 m wide. What is its area (in sq m)?
3. 3.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
4. 4.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its perimeter (in cm)?
5. 5.A park is 35 m long and 14 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
6. 6.A triangle has a base of 24 cm and a height of 18 cm. What is its area (in sq cm)?
7. 7.The perimeter of a square is 100 cm. What is its area (in sq cm)?
8. 8.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
9. 9.A park is 17 m long and 16 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
10. 10.A rectangular field is 13 m long and 11 m wide. What is its area (in sq m)?
11. 11.The perimeter of a square is 12 cm. What is its area (in sq cm)?
12. 12.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its perimeter (in cm)?
13. 13.A park is 48 m long and 45 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
14. 14.A triangle has a base of 4 cm and a height of 14 cm. What is its area (in sq cm)?
15. 15.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its perimeter (in cm)?
16. 16.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
17. 17.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
18. 18.A garden is 30 m long and 27 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
19. 19.A triangle has a base of 18 cm and a height of 5 cm. What is its area (in sq cm)?
20. 20.A garden is 26 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
21. 21.A rectangular field is 38 m long and 23 m wide. What is its area (in sq m)?
22. 22.A garden is 34 m long and 25 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
23. 23.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its perimeter (in cm)?
24. 24.A park is 19 m long and 8 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
25. 25.A park is 47 m long and 40 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
26. 26.A garden is 33 m long and 16 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 round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
28. 28.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
29. 29.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
30. 30.A garden is 25 m long and 21 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 garden is 19 m long and 16 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
32. 32.A park is 34 m long and 8 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
33. 33.A park is 20 m long and 17 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
34. 34.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
35. 35.The perimeter of a square is 72 cm. What is its area (in sq cm)?
36. 36.A garden is 25 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)?
37. 37.The perimeter of a square is 80 cm. What is its area (in sq cm)?
38. 38.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its perimeter (in cm)?
39. 39.A park is 51 m long and 36 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
40. 40.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its perimeter (in cm)?

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