Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 57 · 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 16 m long and 14 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 22 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)?
3. 3.A park is 44 m long and 38 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
4. 4.A garden is 19 m long and 17 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
5. 5.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
6. 6.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its perimeter (in cm)?
7. 7.A garden is 24 m long and 11 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
8. 8.A rectangular field is 18 m long and 11 m wide. What is its area (in sq m)?
9. 9.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
10. 10.A rectangle has an area of 136 sq cm and a length of 17 cm. What is its perimeter (in cm)?
11. 11.A garden is 31 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)?
12. 12.A garden is 39 m long and 32 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
13. 13.The perimeter of a square is 56 cm. What is its area (in sq cm)?
14. 14.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
15. 15.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
16. 16.A rectangle has an area of 156 sq cm and a length of 26 cm. What is its perimeter (in cm)?
17. 17.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
18. 18.A garden is 19 m long and 15 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
19. 19.A rectangular field is 8 m long and 4 m wide. What is its area (in sq m)?
20. 20.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
21. 21.A triangle has a base of 26 cm and a height of 3 cm. What is its area (in sq cm)?
22. 22.The perimeter of a square is 92 cm. What is its area (in sq cm)?
23. 23.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
24. 24.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its perimeter (in cm)?
25. 25.The perimeter of a square is 12 cm. What is its area (in sq cm)?
26. 26.The perimeter of a square is 16 cm. What is its area (in sq cm)?
27. 27.A park is 33 m long and 10 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
28. 28.A rectangular field is 6 m long and 4 m wide. What is its area (in sq m)?
29. 29.A garden is 14 m long and 9 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 park is 54 m long and 30 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
31. 31.A park is 46 m long and 41 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
32. 32.A garden is 18 m long and 16 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
33. 33.The perimeter of a square is 88 cm. What is its area (in sq cm)?
34. 34.A triangle has a base of 30 cm and a height of 13 cm. What is its area (in sq cm)?
35. 35.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
36. 36.A rectangle has an area of 203 sq cm and a length of 29 cm. What is its perimeter (in cm)?
37. 37.A garden is 27 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)?
38. 38.The perimeter of a square is 24 cm. What is its area (in sq cm)?
39. 39.A rectangle has an area of 185 sq cm and a length of 37 cm. What is its perimeter (in cm)?
40. 40.A rectangular field is 9 m long and 8 m wide. What is its area (in sq m)?

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