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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 23 · 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 57 m long and 49 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
  2. 2.A garden is 25 m long and 11 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  3. 3.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  4. 4.A park is 24 m long and 22 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
  5. 5.A park is 15 m long and 6 m wide. Fencing costs ₹23 per metre. What does it cost to fence the park all round (in ₹)?
  6. 6.A garden is 27 m long and 16 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 round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  8. 8.A park is 58 m long and 45 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
  9. 9.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  10. 10.A park is 21 m long and 14 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
  11. 11.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  12. 12.The perimeter of a square is 52 cm. What is its area (in sq cm)?
  13. 13.A garden is 20 m long and 15 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 rectangle has an area of 608 sq cm and a length of 32 cm. What is its perimeter (in cm)?
  15. 15.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  16. 16.A triangle has a base of 26 cm and a height of 21 cm. What is its area (in sq cm)?
  17. 17.The perimeter of a square is 92 cm. What is its area (in sq cm)?
  18. 18.A rectangle has an area of 125 sq cm and a length of 25 cm. What is its perimeter (in cm)?
  19. 19.The perimeter of a square is 96 cm. What is its area (in sq cm)?
  20. 20.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
  21. 21.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  22. 22.A rectangle has an area of 114 sq cm and a length of 19 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 garden is 29 m long and 22 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  25. 25.The perimeter of a square is 40 cm. What is its area (in sq cm)?
  26. 26.The perimeter of a square is 32 cm. What is its area (in sq cm)?
  27. 27.A rectangular field is 8 m long and 7 m wide. What is its area (in sq m)?
  28. 28.A triangle has a base of 16 cm and a height of 24 cm. What is its area (in sq cm)?
  29. 29.A garden is 24 m long and 6 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  30. 30.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its perimeter (in cm)?
  31. 31.A rectangular field is 26 m long and 8 m wide. What is its area (in sq m)?
  32. 32.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
  33. 33.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its perimeter (in cm)?
  34. 34.The perimeter of a square is 60 cm. What is its area (in sq cm)?
  35. 35.A triangle has a base of 18 cm and a height of 21 cm. What is its area (in sq cm)?
  36. 36.A park is 14 m long and 5 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
  37. 37.A rectangular field is 25 m long and 8 m wide. What is its area (in sq m)?
  38. 38.A triangle has a base of 20 cm and a height of 24 cm. What is its area (in sq cm)?
  39. 39.A rectangle has an area of 108 sq cm and a length of 18 cm. What is its perimeter (in cm)?
  40. 40.A garden is 21 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)?

Answer key

  1. 6572
  2. 76
  3. 44
  4. 1380
  5. 966
  6. 294
  7. 176
  8. 7416
  9. 88
  10. 980
  11. 154
  12. 169
  13. 156
  14. 102
  15. 1386
  16. 273
  17. 529
  18. 60
  19. 576
  20. 132
  21. 616
  22. 50
  23. 264
  24. 220
  25. 100
  26. 64
  27. 56
  28. 192
  29. 64
  30. 26
  31. 208
  32. 176
  33. 26
  34. 225
  35. 189
  36. 494
  37. 200
  38. 240
  39. 48
  40. 60

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