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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 151 · 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 garden is 35 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)?
  2. 2.The perimeter of a square is 100 cm. What is its area (in sq cm)?
  3. 3.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
  4. 4.A park is 20 m long and 14 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
  5. 5.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  6. 6.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  7. 7.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
  8. 8.The perimeter of a square is 32 cm. What is its area (in sq cm)?
  9. 9.A triangle has a base of 22 cm and a height of 6 cm. What is its area (in sq cm)?
  10. 10.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  11. 11.The perimeter of a square is 84 cm. What is its area (in sq cm)?
  12. 12.A park is 18 m long and 6 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
  13. 13.A rectangular field is 13 m long and 6 m wide. What is its area (in sq m)?
  14. 14.A triangle has a base of 20 cm and a height of 6 cm. What is its area (in sq cm)?
  15. 15.The perimeter of a square is 24 cm. What is its area (in sq cm)?
  16. 16.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
  17. 17.A rectangle has an area of 135 sq cm and a length of 15 cm. What is its perimeter (in cm)?
  18. 18.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its perimeter (in cm)?
  19. 19.A triangle has a base of 12 cm and a height of 11 cm. What is its area (in sq cm)?
  20. 20.A garden is 34 m long and 23 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  21. 21.A rectangular field is 8 m long and 3 m wide. What is its area (in sq m)?
  22. 22.A rectangular field is 10 m long and 7 m wide. What is its area (in sq m)?
  23. 23.A rectangular field is 12 m long and 3 m wide. What is its area (in sq m)?
  24. 24.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  25. 25.A garden is 38 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)?
  26. 26.A park is 53 m long and 8 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
  27. 27.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  28. 28.A rectangle has an area of 1280 sq cm and a length of 40 cm. What is its perimeter (in cm)?
  29. 29.A park is 14 m long and 13 m wide. Fencing costs ₹24 per metre. What does it cost to fence the park all round (in ₹)?
  30. 30.A park is 24 m long and 9 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
  31. 31.A garden is 16 m long and 11 m wide. A path 3 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 5 cm and a height of 18 cm. What is its area (in sq cm)?
  33. 33.A park is 43 m long and 22 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
  34. 34.The perimeter of a square is 96 cm. What is its area (in sq cm)?
  35. 35.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
  36. 36.The perimeter of a square is 76 cm. What is its area (in sq cm)?
  37. 37.The perimeter of a square is 108 cm. What is its area (in sq cm)?
  38. 38.A triangle has a base of 7 cm and a height of 16 cm. What is its area (in sq cm)?
  39. 39.A garden is 30 m long and 29 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  40. 40.A park is 17 m long and 16 m wide. Fencing costs ₹27 per metre. What does it cost to fence the park all round (in ₹)?

Answer key

  1. 114
  2. 625
  3. 132
  4. 544
  5. 154
  6. 44
  7. 88
  8. 64
  9. 66
  10. 44
  11. 441
  12. 624
  13. 78
  14. 60
  15. 36
  16. 220
  17. 48
  18. 36
  19. 66
  20. 118
  21. 24
  22. 70
  23. 36
  24. 1386
  25. 268
  26. 3538
  27. 2464
  28. 144
  29. 1296
  30. 990
  31. 198
  32. 45
  33. 1950
  34. 576
  35. 18
  36. 361
  37. 729
  38. 56
  39. 390
  40. 1782

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