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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 60 · 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.

NameDateTime takenScore ___ / 40
  1. 1.A rectangular field is 10 m long and 4 m wide. What is its area (in sq m)?
  2. 2.A triangle has a base of 9 cm and a height of 6 cm. What is its area (in sq cm)?
  3. 3.A rectangle has an area of 546 sq cm and a length of 26 cm. What is its perimeter (in cm)?
  4. 4.A triangle has a base of 16 cm and a height of 5 cm. What is its area (in sq cm)?
  5. 5.A rectangle has an area of 87 sq cm and a length of 29 cm. What is its perimeter (in cm)?
  6. 6.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  7. 7.A rectangle has an area of 253 sq cm and a length of 23 cm. What is its perimeter (in cm)?
  8. 8.The perimeter of a square is 64 cm. What is its area (in sq cm)?
  9. 9.The perimeter of a square is 60 cm. What is its area (in sq cm)?
  10. 10.The perimeter of a square is 76 cm. What is its area (in sq cm)?
  11. 11.A park is 42 m long and 6 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
  12. 12.A garden is 10 m long and 5 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  13. 13.A garden is 15 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)?
  14. 14.A triangle has a base of 19 cm and a height of 24 cm. What is its area (in sq cm)?
  15. 15.A garden is 29 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)?
  16. 16.A triangle has a base of 20 cm and a height of 7 cm. What is its area (in sq cm)?
  17. 17.A triangle has a base of 12 cm and a height of 7 cm. What is its area (in sq cm)?
  18. 18.The perimeter of a square is 100 cm. What is its area (in sq cm)?
  19. 19.A park is 22 m long and 19 m wide. Fencing costs ₹37 per metre. What does it cost to fence the park all round (in ₹)?
  20. 20.A garden is 27 m long and 22 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 park is 25 m long and 13 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
  22. 22.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
  23. 23.The perimeter of a square is 28 cm. What is its area (in sq cm)?
  24. 24.A park is 50 m long and 23 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
  25. 25.A rectangle has an area of 713 sq cm and a length of 31 cm. What is its perimeter (in cm)?
  26. 26.A garden is 17 m long and 10 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  27. 27.The perimeter of a square is 120 cm. What is its area (in sq cm)?
  28. 28.A rectangle has an area of 936 sq cm and a length of 36 cm. What is its perimeter (in cm)?
  29. 29.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  30. 30.A triangle has a base of 26 cm and a height of 3 cm. What is its area (in sq cm)?
  31. 31.A garden is 28 m long and 26 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 21 m long and 10 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
  33. 33.A garden is 17 m long and 7 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  34. 34.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  35. 35.A park is 13 m long and 10 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
  36. 36.A park is 33 m long and 21 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
  37. 37.A park is 55 m long and 10 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
  38. 38.A rectangular field is 34 m long and 30 m wide. What is its area (in sq m)?
  39. 39.A park is 35 m long and 23 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
  40. 40.A garden is 12 m long and 5 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. 40
  2. 27
  3. 94
  4. 40
  5. 64
  6. 264
  7. 68
  8. 256
  9. 225
  10. 361
  11. 1536
  12. 76
  13. 58
  14. 228
  15. 76
  16. 70
  17. 42
  18. 625
  19. 3034
  20. 330
  21. 1520
  22. 132
  23. 49
  24. 4526
  25. 108
  26. 198
  27. 900
  28. 124
  29. 154
  30. 39
  31. 112
  32. 930
  33. 180
  34. 616
  35. 690
  36. 2052
  37. 4160
  38. 1020
  39. 2552
  40. 84

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