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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 175 · 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 radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  2. 2.A rectangle has an area of 760 sq cm and a length of 38 cm. What is its perimeter (in cm)?
  3. 3.A park is 16 m long and 12 m wide. Fencing costs ₹21 per metre. What does it cost to fence the park all round (in ₹)?
  4. 4.A garden is 39 m long and 27 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  5. 5.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  6. 6.The perimeter of a square is 40 cm. What is its area (in sq cm)?
  7. 7.A rectangular field is 18 m long and 5 m wide. What is its area (in sq m)?
  8. 8.A garden is 32 m long and 17 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  9. 9.A rectangle has an area of 261 sq cm and a length of 29 cm. What is its perimeter (in cm)?
  10. 10.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  11. 11.The perimeter of a square is 120 cm. What is its area (in sq cm)?
  12. 12.A rectangle has an area of 960 sq cm and a length of 32 cm. What is its perimeter (in cm)?
  13. 13.A park is 37 m long and 9 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
  14. 14.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
  15. 15.The perimeter of a square is 96 cm. What is its area (in sq cm)?
  16. 16.A rectangle has an area of 945 sq cm and a length of 35 cm. What is its perimeter (in cm)?
  17. 17.A triangle has a base of 23 cm and a height of 6 cm. What is its area (in sq cm)?
  18. 18.A triangle has a base of 9 cm and a height of 8 cm. What is its area (in sq cm)?
  19. 19.A garden is 12 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)?
  20. 20.A rectangle has an area of 125 sq cm and a length of 25 cm. What is its perimeter (in cm)?
  21. 21.The perimeter of a square is 84 cm. What is its area (in sq cm)?
  22. 22.A garden is 28 m long and 20 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  23. 23.The perimeter of a square is 12 cm. What is its area (in sq cm)?
  24. 24.A rectangle has an area of 52 sq cm and a length of 13 cm. What is its perimeter (in cm)?
  25. 25.A triangle has a base of 21 cm and a height of 10 cm. What is its area (in sq cm)?
  26. 26.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  27. 27.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  28. 28.A park is 54 m long and 44 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
  29. 29.A rectangle has an area of 357 sq cm and a length of 21 cm. What is its perimeter (in cm)?
  30. 30.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
  31. 31.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
  32. 32.A rectangle has an area of 360 sq cm and a length of 40 cm. What is its perimeter (in cm)?
  33. 33.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its perimeter (in cm)?
  34. 34.A triangle has a base of 25 cm and a height of 14 cm. What is its area (in sq cm)?
  35. 35.A park is 22 m long and 7 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
  36. 36.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  37. 37.A garden is 34 m long and 29 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  38. 38.A rectangle has an area of 198 sq cm and a length of 22 cm. What is its perimeter (in cm)?
  39. 39.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its perimeter (in cm)?
  40. 40.A park is 37 m long and 31 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?

Answer key

  1. 88
  2. 116
  3. 1176
  4. 432
  5. 44
  6. 100
  7. 90
  8. 330
  9. 76
  10. 264
  11. 900
  12. 124
  13. 3496
  14. 132
  15. 576
  16. 124
  17. 69
  18. 36
  19. 42
  20. 60
  21. 441
  22. 324
  23. 9
  24. 34
  25. 105
  26. 154
  27. 1386
  28. 3724
  29. 76
  30. 132
  31. 18
  32. 98
  33. 20
  34. 175
  35. 348
  36. 2464
  37. 414
  38. 62
  39. 18
  40. 1632

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