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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 330 · 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 park is 53 m long and 27 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
  2. 2.A park is 54 m long and 45 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
  3. 3.A garden is 22 m long and 13 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  4. 4.A triangle has a base of 28 cm and a height of 3 cm. What is its area (in sq cm)?
  5. 5.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  6. 6.A rectangular field is 20 m long and 8 m wide. What is its area (in sq m)?
  7. 7.A park is 33 m long and 25 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
  8. 8.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its perimeter (in cm)?
  9. 9.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its perimeter (in cm)?
  10. 10.A rectangle has an area of 56 sq cm and a length of 8 cm. What is its perimeter (in cm)?
  11. 11.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  12. 12.The perimeter of a square is 20 cm. What is its area (in sq cm)?
  13. 13.A garden is 20 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)?
  14. 14.A garden is 15 m long and 11 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  15. 15.A triangle has a base of 12 cm and a height of 6 cm. What is its area (in sq cm)?
  16. 16.A triangle has a base of 26 cm and a height of 16 cm. What is its area (in sq cm)?
  17. 17.The perimeter of a square is 116 cm. What is its area (in sq cm)?
  18. 18.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  19. 19.A park is 16 m long and 9 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
  20. 20.A park is 57 m long and 46 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
  21. 21.A rectangle has an area of 1295 sq cm and a length of 37 cm. What is its perimeter (in cm)?
  22. 22.A rectangular field is 17 m long and 13 m wide. What is its area (in sq m)?
  23. 23.A rectangular field is 35 m long and 21 m wide. What is its area (in sq m)?
  24. 24.A garden is 23 m long and 22 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  25. 25.A rectangle has an area of 806 sq cm and a length of 31 cm. What is its perimeter (in cm)?
  26. 26.A rectangle has an area of 72 sq cm and a length of 12 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a square is 68 cm. What is its area (in sq cm)?
  28. 28.The perimeter of a square is 72 cm. What is its area (in sq cm)?
  29. 29.A garden is 17 m long and 14 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  30. 30.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  31. 31.A park is 55 m long and 53 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
  32. 32.A rectangular field is 18 m long and 4 m wide. What is its area (in sq m)?
  33. 33.The perimeter of a square is 40 cm. What is its area (in sq cm)?
  34. 34.A triangle has a base of 25 cm and a height of 24 cm. What is its area (in sq cm)?
  35. 35.A garden is 19 m long and 16 m wide. A path 2 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 42 cm. What is its circumference (take π = 22/7; in cm)?
  37. 37.The perimeter of a square is 108 cm. What is its area (in sq cm)?
  38. 38.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
  39. 39.The perimeter of a square is 120 cm. What is its area (in sq cm)?
  40. 40.The perimeter of a square is 56 cm. What is its area (in sq cm)?

Answer key

  1. 1760
  2. 2376
  3. 156
  4. 42
  5. 154
  6. 160
  7. 2204
  8. 36
  9. 16
  10. 30
  11. 44
  12. 25
  13. 116
  14. 120
  15. 36
  16. 208
  17. 841
  18. 88
  19. 250
  20. 6592
  21. 144
  22. 221
  23. 735
  24. 94
  25. 114
  26. 36
  27. 289
  28. 324
  29. 66
  30. 2464
  31. 1512
  32. 72
  33. 100
  34. 300
  35. 156
  36. 132
  37. 729
  38. 220
  39. 900
  40. 196

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