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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 137 · 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.The perimeter of a square is 76 cm. What is its area (in sq cm)?
  2. 2.A rectangular field is 8 m long and 3 m wide. What is its area (in sq m)?
  3. 3.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  4. 4.A park is 14 m long and 5 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
  5. 5.The perimeter of a square is 96 cm. What is its area (in sq cm)?
  6. 6.A rectangular field is 16 m long and 14 m wide. What is its area (in sq m)?
  7. 7.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
  8. 8.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  9. 9.A rectangle has an area of 297 sq cm and a length of 33 cm. What is its perimeter (in cm)?
  10. 10.A garden is 31 m long and 21 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  11. 11.A rectangular field is 22 m long and 11 m wide. What is its area (in sq m)?
  12. 12.A park is 55 m long and 11 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
  13. 13.A rectangle has an area of 152 sq cm and a length of 19 cm. What is its perimeter (in cm)?
  14. 14.A park is 18 m long and 17 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
  15. 15.A garden is 11 m long and 10 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 triangle has a base of 7 cm and a height of 4 cm. What is its area (in sq cm)?
  17. 17.A triangle has a base of 4 cm and a height of 6 cm. What is its area (in sq cm)?
  18. 18.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
  19. 19.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  20. 20.A park is 21 m long and 9 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
  21. 21.A park is 56 m long and 18 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
  22. 22.A garden is 33 m long and 25 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  23. 23.A garden is 27 m long and 19 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  24. 24.A park is 37 m long and 17 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
  25. 25.The perimeter of a square is 80 cm. What is its area (in sq cm)?
  26. 26.A rectangle has an area of 792 sq cm and a length of 36 cm. What is its perimeter (in cm)?
  27. 27.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  28. 28.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  29. 29.A garden is 22 m long and 8 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 rectangular field is 14 m long and 8 m wide. What is its area (in sq m)?
  31. 31.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
  32. 32.A rectangular field is 11 m long and 3 m wide. What is its area (in sq m)?
  33. 33.A rectangular field is 28 m long and 27 m wide. What is its area (in sq m)?
  34. 34.A triangle has a base of 12 cm and a height of 23 cm. What is its area (in sq cm)?
  35. 35.A rectangle has an area of 285 sq cm and a length of 19 cm. What is its perimeter (in cm)?
  36. 36.A garden is 32 m long and 31 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  37. 37.A park is 46 m long and 24 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
  38. 38.A triangle has a base of 8 cm and a height of 24 cm. What is its area (in sq cm)?
  39. 39.A rectangular field is 32 m long and 27 m wide. What is its area (in sq m)?
  40. 40.A garden is 25 m long and 6 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?

Answer key

  1. 361
  2. 24
  3. 44
  4. 266
  5. 576
  6. 224
  7. 264
  8. 1386
  9. 84
  10. 224
  11. 242
  12. 1320
  13. 54
  14. 490
  15. 46
  16. 14
  17. 12
  18. 220
  19. 88
  20. 1320
  21. 2516
  22. 248
  23. 96
  24. 3672
  25. 400
  26. 116
  27. 2464
  28. 176
  29. 216
  30. 112
  31. 176
  32. 33
  33. 756
  34. 138
  35. 68
  36. 268
  37. 4480
  38. 96
  39. 864
  40. 140

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