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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 9 · 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 round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
  2. 2.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
  3. 3.A garden is 39 m long and 5 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  4. 4.A rectangle has an area of 840 sq cm and a length of 40 cm. What is its perimeter (in cm)?
  5. 5.A park is 50 m long and 16 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
  6. 6.A rectangle has an area of 546 sq cm and a length of 26 cm. What is its perimeter (in cm)?
  7. 7.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  8. 8.A triangle has a base of 10 cm and a height of 20 cm. What is its area (in sq cm)?
  9. 9.A park is 54 m long and 52 m wide. Fencing costs ₹24 per metre. What does it cost to fence the park all round (in ₹)?
  10. 10.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  11. 11.A rectangle has an area of 280 sq cm and a length of 20 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 9 m long and 4 m wide. What is its area (in sq m)?
  13. 13.The perimeter of a square is 80 cm. What is its area (in sq cm)?
  14. 14.A rectangular field is 23 m long and 10 m wide. What is its area (in sq m)?
  15. 15.A rectangular field is 13 m long and 11 m wide. What is its area (in sq m)?
  16. 16.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  17. 17.A triangle has a base of 24 cm and a height of 25 cm. What is its area (in sq cm)?
  18. 18.A rectangle has an area of 450 sq cm and a length of 30 cm. What is its perimeter (in cm)?
  19. 19.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  20. 20.A garden is 23 m long and 20 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  21. 21.A triangle has a base of 20 cm and a height of 15 cm. What is its area (in sq cm)?
  22. 22.A garden is 28 m long and 15 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  23. 23.A rectangle has an area of 468 sq cm and a length of 39 cm. What is its perimeter (in cm)?
  24. 24.A rectangular field is 7 m long and 3 m wide. What is its area (in sq m)?
  25. 25.A park is 38 m long and 25 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
  26. 26.A garden is 11 m long and 5 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 28 cm. What is its area (in sq cm)?
  28. 28.A rectangular field is 11 m long and 10 m wide. What is its area (in sq m)?
  29. 29.A rectangular field is 8 m long and 4 m wide. What is its area (in sq m)?
  30. 30.A garden is 30 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)?
  31. 31.The perimeter of a square is 88 cm. What is its area (in sq cm)?
  32. 32.A garden is 12 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)?
  33. 33.The perimeter of a square is 24 cm. What is its area (in sq cm)?
  34. 34.A triangle has a base of 8 cm and a height of 17 cm. What is its area (in sq cm)?
  35. 35.A park is 29 m long and 19 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
  36. 36.The perimeter of a square is 64 cm. What is its area (in sq cm)?
  37. 37.A rectangle has an area of 1080 sq cm and a length of 40 cm. What is its perimeter (in cm)?
  38. 38.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  39. 39.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  40. 40.A rectangular field is 25 m long and 13 m wide. What is its area (in sq m)?

Answer key

  1. 220
  2. 264
  3. 300
  4. 122
  5. 1980
  6. 94
  7. 2464
  8. 100
  9. 5088
  10. 1386
  11. 68
  12. 36
  13. 400
  14. 230
  15. 143
  16. 154
  17. 300
  18. 90
  19. 616
  20. 90
  21. 150
  22. 294
  23. 102
  24. 21
  25. 4032
  26. 132
  27. 49
  28. 110
  29. 32
  30. 86
  31. 484
  32. 88
  33. 36
  34. 68
  35. 864
  36. 256
  37. 134
  38. 44
  39. 44
  40. 325

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