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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 309 · 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 18 m long and 16 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  2. 2.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its perimeter (in cm)?
  3. 3.A park is 26 m long and 18 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
  4. 4.A rectangular field is 27 m long and 7 m wide. What is its area (in sq m)?
  5. 5.The perimeter of a square is 100 cm. What is its area (in sq cm)?
  6. 6.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  7. 7.A garden is 27 m long and 17 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  8. 8.A garden is 12 m long and 10 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  9. 9.The perimeter of a square is 20 cm. What is its area (in sq cm)?
  10. 10.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  11. 11.The perimeter of a square is 84 cm. What is its area (in sq cm)?
  12. 12.The perimeter of a square is 28 cm. What is its area (in sq cm)?
  13. 13.A triangle has a base of 20 cm and a height of 16 cm. What is its area (in sq cm)?
  14. 14.A triangle has a base of 8 cm and a height of 11 cm. What is its area (in sq cm)?
  15. 15.A triangle has a base of 12 cm and a height of 15 cm. What is its area (in sq cm)?
  16. 16.A triangle has a base of 8 cm and a height of 23 cm. What is its area (in sq cm)?
  17. 17.A rectangular field is 32 m long and 6 m wide. What is its area (in sq m)?
  18. 18.The perimeter of a square is 120 cm. What is its area (in sq cm)?
  19. 19.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
  20. 20.A garden is 14 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)?
  21. 21.A park is 26 m long and 8 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
  22. 22.A park is 41 m long and 37 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
  23. 23.A rectangle has an area of 72 sq cm and a length of 18 cm. What is its perimeter (in cm)?
  24. 24.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
  25. 25.A rectangle has an area of 805 sq cm and a length of 35 cm. What is its perimeter (in cm)?
  26. 26.A triangle has a base of 12 cm and a height of 23 cm. What is its area (in sq cm)?
  27. 27.A park is 56 m long and 48 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
  28. 28.A triangle has a base of 20 cm and a height of 14 cm. What is its area (in sq cm)?
  29. 29.A park is 22 m long and 14 m wide. Fencing costs ₹18 per metre. What does it cost to fence the park all round (in ₹)?
  30. 30.A rectangle has an area of 270 sq cm and a length of 30 cm. What is its perimeter (in cm)?
  31. 31.A rectangle has an area of 1080 sq cm and a length of 40 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 9 m long and 6 m wide. What is its area (in sq m)?
  33. 33.A garden is 11 m long and 10 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  34. 34.A garden is 11 m long and 5 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  35. 35.A rectangular field is 33 m long and 29 m wide. What is its area (in sq m)?
  36. 36.A triangle has a base of 13 cm and a height of 4 cm. What is its area (in sq cm)?
  37. 37.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its perimeter (in cm)?
  38. 38.A park is 48 m long and 6 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
  39. 39.A park is 16 m long and 6 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
  40. 40.A rectangular field is 39 m long and 35 m wide. What is its area (in sq m)?

Answer key

  1. 72
  2. 38
  3. 1408
  4. 189
  5. 625
  6. 616
  7. 192
  8. 48
  9. 25
  10. 154
  11. 441
  12. 49
  13. 160
  14. 44
  15. 90
  16. 92
  17. 192
  18. 900
  19. 88
  20. 58
  21. 2448
  22. 1560
  23. 44
  24. 176
  25. 116
  26. 138
  27. 1248
  28. 140
  29. 1296
  30. 78
  31. 134
  32. 54
  33. 46
  34. 36
  35. 957
  36. 26
  37. 28
  38. 1296
  39. 1716
  40. 1365

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