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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 41 · 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.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  2. 2.A rectangular field is 6 m long and 4 m wide. What is its area (in sq m)?
  3. 3.A park is 53 m long and 37 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
  4. 4.A park is 40 m long and 30 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
  5. 5.The perimeter of a square is 88 cm. What is its area (in sq cm)?
  6. 6.A garden is 32 m long and 15 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  7. 7.A park is 55 m long and 9 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
  8. 8.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  9. 9.A rectangle has an area of 84 sq cm and a length of 21 cm. What is its perimeter (in cm)?
  10. 10.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
  11. 11.A rectangular field is 39 m long and 9 m wide. What is its area (in sq m)?
  12. 12.A garden is 24 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)?
  13. 13.The perimeter of a square is 20 cm. What is its area (in sq cm)?
  14. 14.The perimeter of a square is 44 cm. What is its area (in sq cm)?
  15. 15.A park is 50 m long and 17 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
  16. 16.A rectangle has an area of 1443 sq cm and a length of 39 cm. What is its perimeter (in cm)?
  17. 17.A rectangular field is 7 m long and 3 m wide. What is its area (in sq m)?
  18. 18.A rectangular field is 12 m long and 7 m wide. What is its area (in sq m)?
  19. 19.A rectangle has an area of 532 sq cm and a length of 28 cm. What is its perimeter (in cm)?
  20. 20.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  21. 21.A rectangle has an area of 126 sq cm and a length of 21 cm. What is its perimeter (in cm)?
  22. 22.A park is 23 m long and 5 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
  23. 23.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  24. 24.The perimeter of a square is 80 cm. What is its area (in sq cm)?
  25. 25.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  26. 26.The perimeter of a square is 36 cm. What is its area (in sq cm)?
  27. 27.The perimeter of a square is 16 cm. What is its area (in sq cm)?
  28. 28.A rectangle has an area of 210 sq cm and a length of 30 cm. What is its perimeter (in cm)?
  29. 29.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
  30. 30.A rectangle has an area of 175 sq cm and a length of 35 cm. What is its perimeter (in cm)?
  31. 31.A garden is 11 m long and 8 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 17 m long and 14 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
  33. 33.A park is 21 m long and 6 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
  34. 34.A park is 21 m long and 19 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
  35. 35.A garden is 11 m long and 5 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  36. 36.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  37. 37.A park is 15 m long and 5 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
  38. 38.The perimeter of a square is 76 cm. What is its area (in sq cm)?
  39. 39.A rectangular field is 29 m long and 21 m wide. What is its area (in sq m)?
  40. 40.A rectangular field is 9 m long and 4 m wide. What is its area (in sq m)?

Answer key

  1. 2464
  2. 24
  3. 1800
  4. 1120
  5. 484
  6. 318
  7. 4096
  8. 176
  9. 50
  10. 132
  11. 351
  12. 318
  13. 25
  14. 121
  15. 3886
  16. 152
  17. 21
  18. 84
  19. 94
  20. 1386
  21. 54
  22. 1904
  23. 616
  24. 400
  25. 44
  26. 81
  27. 16
  28. 74
  29. 264
  30. 80
  31. 92
  32. 1054
  33. 1674
  34. 2720
  35. 132
  36. 264
  37. 320
  38. 361
  39. 609
  40. 36

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