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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 16 · 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 11 m long and 8 m wide. What is its area (in sq m)?
  2. 2.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  3. 3.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
  4. 4.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  5. 5.A park is 16 m long and 7 m wide. Fencing costs ₹37 per metre. What does it cost to fence the park all round (in ₹)?
  6. 6.The perimeter of a square is 28 cm. What is its area (in sq cm)?
  7. 7.A triangle has a base of 16 cm and a height of 15 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.The perimeter of a square is 56 cm. What is its area (in sq cm)?
  10. 10.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  11. 11.A garden is 10 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)?
  12. 12.A park is 17 m long and 10 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
  13. 13.A park is 54 m long and 11 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
  14. 14.A triangle has a base of 13 cm and a height of 20 cm. What is its area (in sq cm)?
  15. 15.A rectangle has an area of 216 sq cm and a length of 18 cm. What is its perimeter (in cm)?
  16. 16.A park is 12 m long and 6 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
  17. 17.A park is 25 m long and 24 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
  18. 18.A park is 46 m long and 42 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
  19. 19.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  20. 20.A triangle has a base of 17 cm and a height of 18 cm. What is its area (in sq cm)?
  21. 21.The perimeter of a square is 104 cm. What is its area (in sq cm)?
  22. 22.A triangle has a base of 20 cm and a height of 14 cm. What is its area (in sq cm)?
  23. 23.A park is 52 m long and 38 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
  24. 24.A garden is 15 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)?
  25. 25.A rectangle has an area of 48 sq cm and a length of 12 cm. What is its perimeter (in cm)?
  26. 26.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  27. 27.The perimeter of a square is 32 cm. What is its area (in sq cm)?
  28. 28.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  29. 29.A park is 56 m long and 37 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
  30. 30.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
  31. 31.The perimeter of a square is 72 cm. What is its area (in sq cm)?
  32. 32.A triangle has a base of 8 cm and a height of 24 cm. What is its area (in sq cm)?
  33. 33.A rectangular field is 15 m long and 11 m wide. What is its area (in sq m)?
  34. 34.A triangle has a base of 5 cm and a height of 24 cm. What is its area (in sq cm)?
  35. 35.A triangle has a base of 30 cm and a height of 9 cm. What is its area (in sq cm)?
  36. 36.The perimeter of a square is 76 cm. What is its area (in sq cm)?
  37. 37.A garden is 38 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)?
  38. 38.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its perimeter (in cm)?
  39. 39.A rectangle has an area of 1080 sq cm and a length of 36 cm. What is its perimeter (in cm)?
  40. 40.A triangle has a base of 26 cm and a height of 13 cm. What is its area (in sq cm)?

Answer key

  1. 88
  2. 2464
  3. 220
  4. 44
  5. 1702
  6. 49
  7. 120
  8. 154
  9. 196
  10. 1386
  11. 138
  12. 378
  13. 1430
  14. 130
  15. 60
  16. 612
  17. 3822
  18. 4928
  19. 616
  20. 153
  21. 676
  22. 140
  23. 2160
  24. 62
  25. 32
  26. 44
  27. 64
  28. 88
  29. 5394
  30. 220
  31. 324
  32. 96
  33. 165
  34. 60
  35. 135
  36. 361
  37. 120
  38. 24
  39. 132
  40. 169

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