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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 265 · 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 rectangular field is 27 m long and 5 m wide. What is its area (in sq m)?
  2. 2.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  3. 3.A rectangular field is 10 m long and 4 m wide. What is its area (in sq m)?
  4. 4.A rectangle has an area of 162 sq cm and a length of 18 cm. What is its perimeter (in cm)?
  5. 5.A garden is 29 m long and 25 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  6. 6.A garden is 19 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)?
  7. 7.A park is 51 m long and 11 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
  8. 8.The perimeter of a square is 28 cm. What is its area (in sq cm)?
  9. 9.The perimeter of a square is 68 cm. What is its area (in sq cm)?
  10. 10.A rectangle has an area of 78 sq cm and a length of 13 cm. What is its perimeter (in cm)?
  11. 11.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  12. 12.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  13. 13.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  14. 14.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  15. 15.A rectangular field is 31 m long and 27 m wide. What is its area (in sq m)?
  16. 16.A park is 21 m long and 7 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
  17. 17.A rectangular field is 9 m long and 3 m wide. What is its area (in sq m)?
  18. 18.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
  19. 19.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  20. 20.A triangle has a base of 12 cm and a height of 5 cm. What is its area (in sq cm)?
  21. 21.A garden is 37 m long and 26 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 triangle has a base of 10 cm and a height of 8 cm. What is its area (in sq cm)?
  23. 23.A triangle has a base of 27 cm and a height of 4 cm. What is its area (in sq cm)?
  24. 24.A park is 31 m long and 9 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
  25. 25.The perimeter of a square is 44 cm. What is its area (in sq cm)?
  26. 26.The perimeter of a square is 52 cm. What is its area (in sq cm)?
  27. 27.A park is 60 m long and 26 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
  28. 28.A rectangle has an area of 850 sq cm and a length of 34 cm. What is its perimeter (in cm)?
  29. 29.The perimeter of a square is 100 cm. What is its area (in sq cm)?
  30. 30.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  31. 31.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
  32. 32.The perimeter of a square is 92 cm. What is its area (in sq cm)?
  33. 33.A garden is 28 m long and 7 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  34. 34.A park is 51 m long and 46 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
  35. 35.A rectangular field is 18 m long and 9 m wide. What is its area (in sq m)?
  36. 36.A rectangular field is 27 m long and 15 m wide. What is its area (in sq m)?
  37. 37.A rectangular field is 30 m long and 20 m wide. What is its area (in sq m)?
  38. 38.A rectangular field is 12 m long and 4 m wide. What is its area (in sq m)?
  39. 39.A triangle has a base of 4 cm and a height of 7 cm. What is its area (in sq cm)?
  40. 40.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?

Answer key

  1. 135
  2. 88
  3. 40
  4. 54
  5. 232
  6. 140
  7. 1488
  8. 49
  9. 289
  10. 38
  11. 44
  12. 2464
  13. 1386
  14. 176
  15. 837
  16. 784
  17. 27
  18. 18
  19. 44
  20. 30
  21. 414
  22. 40
  23. 54
  24. 1200
  25. 121
  26. 169
  27. 6536
  28. 118
  29. 625
  30. 616
  31. 264
  32. 529
  33. 246
  34. 2328
  35. 162
  36. 405
  37. 600
  38. 48
  39. 14
  40. 132

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