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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 124 · 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 triangle has a base of 30 cm and a height of 15 cm. What is its area (in sq cm)?
  2. 2.A park is 19 m long and 7 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
  3. 3.A park is 53 m long and 6 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
  4. 4.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
  5. 5.A garden is 16 m long and 13 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  6. 6.A rectangle has an area of 207 sq cm and a length of 23 cm. What is its perimeter (in cm)?
  7. 7.A garden is 16 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)?
  8. 8.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  9. 9.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  10. 10.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  11. 11.A garden is 21 m long and 9 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  12. 12.A rectangle has an area of 418 sq cm and a length of 22 cm. What is its perimeter (in cm)?
  13. 13.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  14. 14.A garden is 14 m long and 5 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  15. 15.A rectangle has an area of 180 sq cm and a length of 15 cm. What is its perimeter (in cm)?
  16. 16.A rectangular field is 30 m long and 23 m wide. What is its area (in sq m)?
  17. 17.A triangle has a base of 10 cm and a height of 4 cm. What is its area (in sq cm)?
  18. 18.A rectangle has an area of 55 sq cm and a length of 11 cm. What is its perimeter (in cm)?
  19. 19.The perimeter of a square is 76 cm. What is its area (in sq cm)?
  20. 20.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
  21. 21.The perimeter of a square is 32 cm. What is its area (in sq cm)?
  22. 22.A rectangle has an area of 540 sq cm and a length of 36 cm. What is its perimeter (in cm)?
  23. 23.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  24. 24.A rectangular field is 23 m long and 3 m wide. What is its area (in sq m)?
  25. 25.A park is 43 m long and 15 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
  26. 26.A park is 12 m long and 5 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
  27. 27.A rectangular field is 27 m long and 15 m wide. What is its area (in sq m)?
  28. 28.A rectangle has an area of 104 sq cm and a length of 13 cm. What is its perimeter (in cm)?
  29. 29.A rectangular field is 17 m long and 3 m wide. What is its area (in sq m)?
  30. 30.A triangle has a base of 14 cm and a height of 3 cm. What is its area (in sq cm)?
  31. 31.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its perimeter (in cm)?
  32. 32.A park is 49 m long and 32 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
  33. 33.A garden is 36 m long and 13 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  34. 34.The perimeter of a square is 100 cm. What is its area (in sq cm)?
  35. 35.A rectangular field is 40 m long and 35 m wide. What is its area (in sq m)?
  36. 36.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its perimeter (in cm)?
  37. 37.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
  38. 38.A park is 20 m long and 6 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
  39. 39.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)?
  40. 40.A rectangular field is 35 m long and 33 m wide. What is its area (in sq m)?

Answer key

  1. 225
  2. 364
  3. 1298
  4. 132
  5. 62
  6. 64
  7. 112
  8. 154
  9. 616
  10. 88
  11. 64
  12. 82
  13. 1386
  14. 42
  15. 54
  16. 690
  17. 20
  18. 32
  19. 361
  20. 220
  21. 64
  22. 102
  23. 264
  24. 69
  25. 1740
  26. 238
  27. 405
  28. 42
  29. 51
  30. 21
  31. 52
  32. 1620
  33. 330
  34. 625
  35. 1400
  36. 38
  37. 176
  38. 676
  39. 336
  40. 1155

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