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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 98 · 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.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  2. 2.A rectangular field is 35 m long and 29 m wide. What is its area (in sq m)?
  3. 3.A rectangle has an area of 132 sq cm and a length of 12 cm. What is its perimeter (in cm)?
  4. 4.A rectangle has an area of 155 sq cm and a length of 31 cm. What is its perimeter (in cm)?
  5. 5.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  6. 6.A garden is 21 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)?
  7. 7.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  8. 8.The perimeter of a square is 92 cm. What is its area (in sq cm)?
  9. 9.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; 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.The perimeter of a square is 52 cm. What is its area (in sq cm)?
  12. 12.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
  13. 13.A triangle has a base of 20 cm and a height of 11 cm. What is its area (in sq cm)?
  14. 14.A garden is 30 m long and 14 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  15. 15.A triangle has a base of 23 cm and a height of 6 cm. What is its area (in sq cm)?
  16. 16.A park is 44 m long and 36 m wide. Fencing costs ₹27 per metre. What does it cost to fence the park all round (in ₹)?
  17. 17.A triangle has a base of 10 cm and a height of 16 cm. What is its area (in sq cm)?
  18. 18.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
  19. 19.The perimeter of a square is 112 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.A park is 29 m long and 5 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
  22. 22.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its perimeter (in cm)?
  23. 23.A rectangular field is 17 m long and 13 m wide. What is its area (in sq m)?
  24. 24.A park is 52 m long and 51 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
  25. 25.The perimeter of a square is 60 cm. What is its area (in sq cm)?
  26. 26.A park is 43 m long and 21 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
  27. 27.The perimeter of a square is 48 cm. What is its area (in sq cm)?
  28. 28.The perimeter of a square is 120 cm. What is its area (in sq cm)?
  29. 29.A rectangular field is 37 m long and 33 m wide. What is its area (in sq m)?
  30. 30.The perimeter of a square is 104 cm. What is its area (in sq cm)?
  31. 31.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  32. 32.A rectangular field is 39 m long and 19 m wide. What is its area (in sq m)?
  33. 33.A garden is 39 m long and 19 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  34. 34.A garden is 14 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)?
  35. 35.A park is 15 m long and 12 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
  36. 36.The perimeter of a square is 28 cm. What is its area (in sq cm)?
  37. 37.A triangle has a base of 4 cm and a height of 5 cm. What is its area (in sq cm)?
  38. 38.The perimeter of a square is 32 cm. What is its area (in sq cm)?
  39. 39.A park is 40 m long and 12 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
  40. 40.A garden is 10 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?

Answer key

  1. 1386
  2. 1015
  3. 46
  4. 72
  5. 154
  6. 192
  7. 616
  8. 529
  9. 88
  10. 264
  11. 169
  12. 88
  13. 110
  14. 92
  15. 69
  16. 4320
  17. 80
  18. 132
  19. 784
  20. 132
  21. 680
  22. 30
  23. 221
  24. 6798
  25. 225
  26. 3200
  27. 144
  28. 900
  29. 1221
  30. 676
  31. 44
  32. 741
  33. 120
  34. 48
  35. 1404
  36. 49
  37. 10
  38. 64
  39. 1664
  40. 132

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