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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 54 · 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 park is 20 m long and 18 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
  2. 2.A rectangular field is 24 m long and 22 m wide. What is its area (in sq m)?
  3. 3.A triangle has a base of 25 cm and a height of 22 cm. What is its area (in sq cm)?
  4. 4.A triangle has a base of 10 cm and a height of 9 cm. What is its area (in sq cm)?
  5. 5.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
  6. 6.The perimeter of a square is 116 cm. What is its area (in sq cm)?
  7. 7.The perimeter of a square is 104 cm. What is its area (in sq cm)?
  8. 8.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  9. 9.A park is 12 m long and 8 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
  10. 10.A garden is 16 m long and 14 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  11. 11.A park is 30 m long and 18 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
  12. 12.The perimeter of a square is 36 cm. What is its area (in sq cm)?
  13. 13.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  14. 14.A rectangular field is 11 m long and 10 m wide. What is its area (in sq m)?
  15. 15.A garden is 40 m long and 12 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  16. 16.A garden is 10 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)?
  17. 17.A garden is 14 m long and 5 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  18. 18.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
  19. 19.A rectangle has an area of 240 sq cm and a length of 16 cm. What is its perimeter (in cm)?
  20. 20.The perimeter of a square is 24 cm. What is its area (in sq cm)?
  21. 21.A garden is 29 m long and 18 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  22. 22.A garden is 36 m long and 13 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  23. 23.A rectangular field is 25 m long and 3 m wide. What is its area (in sq m)?
  24. 24.A rectangular field is 35 m long and 20 m wide. What is its area (in sq m)?
  25. 25.A garden is 30 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)?
  26. 26.A rectangle has an area of 308 sq cm and a length of 28 cm. What is its perimeter (in cm)?
  27. 27.A park is 17 m long and 11 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
  28. 28.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its perimeter (in cm)?
  29. 29.A garden is 31 m long and 12 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  30. 30.A rectangular field is 39 m long and 37 m wide. What is its area (in sq m)?
  31. 31.The perimeter of a square is 76 cm. What is its area (in sq cm)?
  32. 32.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  33. 33.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its perimeter (in cm)?
  34. 34.A rectangular field is 22 m long and 16 m wide. What is its area (in sq m)?
  35. 35.A garden is 16 m long and 13 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  36. 36.A triangle has a base of 25 cm and a height of 10 cm. What is its area (in sq cm)?
  37. 37.A rectangular field is 27 m long and 23 m wide. What is its area (in sq m)?
  38. 38.A rectangle has an area of 396 sq cm and a length of 33 cm. What is its perimeter (in cm)?
  39. 39.A triangle has a base of 30 cm and a height of 4 cm. What is its area (in sq cm)?
  40. 40.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).

Answer key

  1. 608
  2. 528
  3. 275
  4. 45
  5. 176
  6. 841
  7. 676
  8. 154
  9. 1320
  10. 136
  11. 1632
  12. 81
  13. 88
  14. 110
  15. 224
  16. 80
  17. 92
  18. 264
  19. 62
  20. 36
  21. 98
  22. 102
  23. 75
  24. 700
  25. 78
  26. 78
  27. 1960
  28. 28
  29. 294
  30. 1443
  31. 361
  32. 176
  33. 22
  34. 352
  35. 132
  36. 125
  37. 621
  38. 90
  39. 60
  40. 1386

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