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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 74 · 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 triangle has a base of 22 cm and a height of 3 cm. What is its area (in sq cm)?
  2. 2.A rectangle has an area of 153 sq cm and a length of 17 cm. What is its perimeter (in cm)?
  3. 3.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its perimeter (in cm)?
  4. 4.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  5. 5.A garden is 25 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)?
  6. 6.A garden is 31 m long and 9 m wide. A path 2 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 garden is 33 m long and 28 m wide. A path 2 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 42 sq cm and a length of 7 cm. What is its perimeter (in cm)?
  10. 10.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
  11. 11.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  12. 12.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  13. 13.The perimeter of a square is 116 cm. What is its area (in sq cm)?
  14. 14.A rectangle has an area of 528 sq cm and a length of 24 cm. What is its perimeter (in cm)?
  15. 15.A rectangular field is 28 m long and 4 m wide. What is its area (in sq m)?
  16. 16.The perimeter of a square is 32 cm. What is its area (in sq cm)?
  17. 17.The perimeter of a square is 44 cm. What is its area (in sq cm)?
  18. 18.A rectangular field is 12 m long and 8 m wide. What is its area (in sq m)?
  19. 19.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
  20. 20.A park is 44 m long and 18 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
  21. 21.A rectangular field is 14 m long and 6 m wide. What is its area (in sq m)?
  22. 22.A rectangle has an area of 1053 sq cm and a length of 39 cm. What is its perimeter (in cm)?
  23. 23.A rectangular field is 30 m long and 13 m wide. What is its area (in sq m)?
  24. 24.The perimeter of a square is 48 cm. What is its area (in sq cm)?
  25. 25.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
  26. 26.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a square is 108 cm. What is its area (in sq cm)?
  28. 28.A rectangular field is 7 m long and 3 m wide. What is its area (in sq m)?
  29. 29.A park is 47 m long and 14 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
  30. 30.A park is 18 m long and 10 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
  31. 31.A garden is 38 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)?
  32. 32.A triangle has a base of 14 cm and a height of 24 cm. What is its area (in sq cm)?
  33. 33.A rectangle has an area of 975 sq cm and a length of 39 cm. What is its perimeter (in cm)?
  34. 34.A rectangular field is 34 m long and 32 m wide. What is its area (in sq m)?
  35. 35.A rectangular field is 26 m long and 19 m wide. What is its area (in sq m)?
  36. 36.A triangle has a base of 17 cm and a height of 16 cm. What is its area (in sq cm)?
  37. 37.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  38. 38.A rectangular field is 27 m long and 9 m wide. What is its area (in sq m)?
  39. 39.The perimeter of a square is 112 cm. What is its area (in sq cm)?
  40. 40.A garden is 17 m long and 9 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. 33
  2. 52
  3. 30
  4. 1386
  5. 94
  6. 176
  7. 176
  8. 260
  9. 26
  10. 264
  11. 2464
  12. 44
  13. 841
  14. 92
  15. 112
  16. 64
  17. 121
  18. 96
  19. 176
  20. 1736
  21. 84
  22. 132
  23. 390
  24. 144
  25. 88
  26. 18
  27. 729
  28. 21
  29. 1586
  30. 560
  31. 92
  32. 168
  33. 128
  34. 1088
  35. 494
  36. 136
  37. 154
  38. 243
  39. 784
  40. 56

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