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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 103 · 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 7 cm (take π = 22/7; answer in sq cm).
  2. 2.A park is 50 m long and 41 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
  3. 3.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its perimeter (in cm)?
  4. 4.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  5. 5.The perimeter of a square is 40 cm. What is its area (in sq cm)?
  6. 6.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  7. 7.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  8. 8.A triangle has a base of 9 cm and a height of 4 cm. What is its area (in sq cm)?
  9. 9.A park is 43 m long and 8 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
  10. 10.A triangle has a base of 22 cm and a height of 8 cm. What is its area (in sq cm)?
  11. 11.A garden is 11 m long and 7 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  12. 12.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  13. 13.A rectangular field is 38 m long and 37 m wide. What is its area (in sq m)?
  14. 14.A triangle has a base of 22 cm and a height of 7 cm. What is its area (in sq cm)?
  15. 15.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
  16. 16.A triangle has a base of 7 cm and a height of 12 cm. What is its area (in sq cm)?
  17. 17.A rectangular field is 32 m long and 17 m wide. What is its area (in sq m)?
  18. 18.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its perimeter (in cm)?
  19. 19.A garden is 35 m long and 27 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  20. 20.The perimeter of a square is 64 cm. What is its area (in sq cm)?
  21. 21.A garden is 15 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)?
  22. 22.A triangle has a base of 10 cm and a height of 23 cm. What is its area (in sq cm)?
  23. 23.A rectangular field is 37 m long and 3 m wide. What is its area (in sq m)?
  24. 24.A rectangle has an area of 561 sq cm and a length of 33 cm. What is its perimeter (in cm)?
  25. 25.A garden is 40 m long and 26 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 77 sq cm and a length of 11 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a square is 84 cm. What is its area (in sq cm)?
  28. 28.A rectangular field is 34 m long and 16 m wide. What is its area (in sq m)?
  29. 29.A triangle has a base of 24 cm and a height of 8 cm. What is its area (in sq cm)?
  30. 30.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
  31. 31.A rectangle has an area of 703 sq cm and a length of 37 cm. What is its perimeter (in cm)?
  32. 32.A triangle has a base of 6 cm and a height of 16 cm. What is its area (in sq cm)?
  33. 33.A park is 46 m long and 10 m wide. Fencing costs ₹18 per metre. What does it cost to fence the park all round (in ₹)?
  34. 34.A park is 12 m long and 9 m wide. Fencing costs ₹18 per metre. What does it cost to fence the park all round (in ₹)?
  35. 35.A rectangular field is 15 m long and 9 m wide. What is its area (in sq m)?
  36. 36.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
  37. 37.A garden is 26 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)?
  38. 38.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its perimeter (in cm)?
  39. 39.The perimeter of a square is 92 cm. What is its area (in sq cm)?
  40. 40.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?

Answer key

  1. 154
  2. 6370
  3. 24
  4. 616
  5. 100
  6. 2464
  7. 44
  8. 18
  9. 3162
  10. 88
  11. 88
  12. 88
  13. 1406
  14. 77
  15. 132
  16. 42
  17. 544
  18. 16
  19. 264
  20. 256
  21. 112
  22. 115
  23. 111
  24. 100
  25. 136
  26. 36
  27. 441
  28. 544
  29. 96
  30. 18
  31. 112
  32. 48
  33. 2016
  34. 756
  35. 135
  36. 220
  37. 94
  38. 58
  39. 529
  40. 176

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