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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 108 · 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 14 cm. What is its circumference (take π = 22/7; in cm)?
  2. 2.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its perimeter (in cm)?
  3. 3.The perimeter of a square is 36 cm. What is its area (in sq cm)?
  4. 4.A rectangle has an area of 69 sq cm and a length of 23 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a square is 116 cm. What is its area (in sq cm)?
  6. 6.A rectangle has an area of 374 sq cm and a length of 22 cm. What is its perimeter (in cm)?
  7. 7.A rectangle has an area of 660 sq cm and a length of 30 cm. What is its perimeter (in cm)?
  8. 8.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  9. 9.A triangle has a base of 20 cm and a height of 11 cm. What is its area (in sq cm)?
  10. 10.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  11. 11.A rectangular field is 27 m long and 11 m wide. What is its area (in sq m)?
  12. 12.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  13. 13.The perimeter of a square is 92 cm. What is its area (in sq cm)?
  14. 14.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
  15. 15.A triangle has a base of 12 cm and a height of 5 cm. What is its area (in sq cm)?
  16. 16.The perimeter of a square is 72 cm. What is its area (in sq cm)?
  17. 17.A rectangle has an area of 442 sq cm and a length of 26 cm. What is its perimeter (in cm)?
  18. 18.A triangle has a base of 23 cm and a height of 22 cm. What is its area (in sq cm)?
  19. 19.A garden is 21 m long and 8 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 triangle has a base of 4 cm and a height of 24 cm. What is its area (in sq cm)?
  21. 21.A garden is 39 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)?
  22. 22.A rectangle has an area of 155 sq cm and a length of 31 cm. What is its perimeter (in cm)?
  23. 23.A rectangular field is 20 m long and 15 m wide. What is its area (in sq m)?
  24. 24.The perimeter of a square is 52 cm. What is its area (in sq cm)?
  25. 25.A park is 58 m long and 14 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
  26. 26.A triangle has a base of 4 cm and a height of 3 cm. What is its area (in sq cm)?
  27. 27.The perimeter of a square is 28 cm. What is its area (in sq cm)?
  28. 28.A rectangular field is 9 m long and 3 m wide. What is its area (in sq m)?
  29. 29.A rectangle has an area of 630 sq cm and a length of 35 cm. What is its perimeter (in cm)?
  30. 30.The perimeter of a square is 16 cm. What is its area (in sq cm)?
  31. 31.The perimeter of a square is 56 cm. What is its area (in sq cm)?
  32. 32.A triangle has a base of 10 cm and a height of 15 cm. What is its area (in sq cm)?
  33. 33.A triangle has a base of 18 cm and a height of 23 cm. What is its area (in sq cm)?
  34. 34.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  35. 35.A garden is 25 m long and 18 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  36. 36.A garden is 32 m long and 12 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  37. 37.The perimeter of a square is 100 cm. What is its area (in sq cm)?
  38. 38.A triangle has a base of 24 cm and a height of 15 cm. What is its area (in sq cm)?
  39. 39.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  40. 40.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).

Answer key

  1. 44
  2. 44
  3. 81
  4. 52
  5. 841
  6. 78
  7. 104
  8. 616
  9. 110
  10. 1386
  11. 297
  12. 176
  13. 529
  14. 132
  15. 30
  16. 324
  17. 86
  18. 253
  19. 62
  20. 48
  21. 360
  22. 72
  23. 300
  24. 169
  25. 1872
  26. 6
  27. 49
  28. 27
  29. 106
  30. 16
  31. 196
  32. 75
  33. 207
  34. 154
  35. 294
  36. 92
  37. 625
  38. 180
  39. 264
  40. 2464

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