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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 174 · 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 27 m long and 7 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 80 sq cm and a length of 16 cm. What is its perimeter (in cm)?
  3. 3.A triangle has a base of 7 cm and a height of 22 cm. What is its area (in sq cm)?
  4. 4.A rectangle has an area of 588 sq cm and a length of 28 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a square is 48 cm. What is its area (in sq cm)?
  6. 6.A triangle has a base of 8 cm and a height of 17 cm. What is its area (in sq cm)?
  7. 7.The perimeter of a square is 80 cm. What is its area (in sq cm)?
  8. 8.A rectangular field is 8 m long and 7 m wide. What is its area (in sq m)?
  9. 9.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
  10. 10.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  11. 11.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  12. 12.A rectangle has an area of 580 sq cm and a length of 29 cm. What is its perimeter (in cm)?
  13. 13.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  14. 14.A rectangular field is 35 m long and 12 m wide. What is its area (in sq m)?
  15. 15.A rectangular field is 7 m long and 4 m wide. What is its area (in sq m)?
  16. 16.A triangle has a base of 24 cm and a height of 18 cm. What is its area (in sq cm)?
  17. 17.The perimeter of a square is 68 cm. What is its area (in sq cm)?
  18. 18.A garden is 20 m long and 8 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  19. 19.A garden is 40 m long and 9 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  20. 20.A rectangular field is 30 m long and 18 m wide. What is its area (in sq m)?
  21. 21.A rectangle has an area of 54 sq cm and a length of 9 cm. What is its perimeter (in cm)?
  22. 22.A garden is 20 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)?
  23. 23.A park is 55 m long and 14 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
  24. 24.A park is 19 m long and 15 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
  25. 25.A rectangle has an area of 204 sq cm and a length of 17 cm. What is its perimeter (in cm)?
  26. 26.A rectangle has an area of 350 sq cm and a length of 25 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a square is 52 cm. What is its area (in sq cm)?
  28. 28.A rectangular field is 10 m long and 5 m wide. What is its area (in sq m)?
  29. 29.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  30. 30.A triangle has a base of 24 cm and a height of 9 cm. What is its area (in sq cm)?
  31. 31.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  32. 32.A park is 18 m long and 15 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
  33. 33.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its perimeter (in cm)?
  34. 34.The perimeter of a square is 16 cm. What is its area (in sq cm)?
  35. 35.A triangle has a base of 9 cm and a height of 10 cm. What is its area (in sq cm)?
  36. 36.A park is 43 m long and 28 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
  37. 37.A rectangular field is 34 m long and 13 m wide. What is its area (in sq m)?
  38. 38.A park is 19 m long and 12 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
  39. 39.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  40. 40.The perimeter of a square is 12 cm. What is its area (in sq cm)?

Answer key

  1. 72
  2. 42
  3. 77
  4. 98
  5. 144
  6. 68
  7. 400
  8. 56
  9. 132
  10. 176
  11. 2464
  12. 98
  13. 264
  14. 420
  15. 28
  16. 216
  17. 289
  18. 128
  19. 102
  20. 540
  21. 30
  22. 124
  23. 1242
  24. 2584
  25. 58
  26. 78
  27. 169
  28. 50
  29. 44
  30. 108
  31. 616
  32. 2244
  33. 20
  34. 16
  35. 45
  36. 1988
  37. 442
  38. 930
  39. 1386
  40. 9

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