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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 307 · 40 questions
TalentJR

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.

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  1. 1.A garden is 38 m long and 29 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  2. 2.The perimeter of a square is 120 cm. What is its area (in sq cm)?
  3. 3.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  4. 4.A garden is 26 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)?
  5. 5.A rectangular field is 28 m long and 22 m wide. What is its area (in sq m)?
  6. 6.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  7. 7.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  8. 8.A garden is 34 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)?
  9. 9.A rectangular field is 12 m long and 6 m wide. What is its area (in sq m)?
  10. 10.A triangle has a base of 16 cm and a height of 12 cm. What is its area (in sq cm)?
  11. 11.A rectangular field is 21 m long and 20 m wide. What is its area (in sq m)?
  12. 12.A garden is 20 m long and 17 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  13. 13.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  14. 14.A park is 57 m long and 19 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
  15. 15.A garden is 35 m long and 29 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 park is 19 m long and 11 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
  17. 17.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  18. 18.A park is 30 m long and 25 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
  19. 19.A park is 56 m long and 13 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
  20. 20.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
  21. 21.A garden is 11 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)?
  22. 22.The perimeter of a square is 20 cm. What is its area (in sq cm)?
  23. 23.A park is 26 m long and 16 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
  24. 24.A rectangle has an area of 240 sq cm and a length of 40 cm. What is its perimeter (in cm)?
  25. 25.A garden is 16 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)?
  26. 26.The perimeter of a square is 84 cm. What is its area (in sq cm)?
  27. 27.A garden is 31 m long and 19 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  28. 28.The perimeter of a square is 36 cm. What is its area (in sq cm)?
  29. 29.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  30. 30.A rectangular field is 28 m long and 10 m wide. What is its area (in sq m)?
  31. 31.A rectangular field is 7 m long and 3 m wide. What is its area (in sq m)?
  32. 32.A garden is 35 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)?
  33. 33.A triangle has a base of 27 cm and a height of 16 cm. What is its area (in sq cm)?
  34. 34.A park is 39 m long and 12 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
  35. 35.A rectangle has an area of 351 sq cm and a length of 27 cm. What is its perimeter (in cm)?
  36. 36.A park is 49 m long and 19 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
  37. 37.A park is 56 m long and 6 m wide. Fencing costs ₹21 per metre. What does it cost to fence the park all round (in ₹)?
  38. 38.A rectangular field is 14 m long and 11 m wide. What is its area (in sq m)?
  39. 39.A triangle has a base of 26 cm and a height of 15 cm. What is its area (in sq cm)?
  40. 40.The perimeter of a square is 28 cm. What is its area (in sq cm)?

Answer key

  1. 438
  2. 900
  3. 88
  4. 192
  5. 616
  6. 2464
  7. 1386
  8. 96
  9. 72
  10. 96
  11. 420
  12. 78
  13. 44
  14. 5168
  15. 132
  16. 2160
  17. 44
  18. 1540
  19. 3450
  20. 220
  21. 38
  22. 25
  23. 2520
  24. 92
  25. 50
  26. 441
  27. 336
  28. 81
  29. 154
  30. 280
  31. 21
  32. 232
  33. 216
  34. 2244
  35. 80
  36. 1632
  37. 2604
  38. 154
  39. 195
  40. 49

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