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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 289 · 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 30 m long and 23 m wide. What is its area (in sq m)?
  2. 2.A triangle has a base of 30 cm and a height of 18 cm. What is its area (in sq cm)?
  3. 3.A garden is 34 m long and 9 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  4. 4.A rectangular field is 19 m long and 7 m wide. What is its area (in sq m)?
  5. 5.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  6. 6.A rectangle has an area of 65 sq cm and a length of 13 cm. What is its perimeter (in cm)?
  7. 7.A rectangular field is 29 m long and 17 m wide. What is its area (in sq m)?
  8. 8.A rectangle has an area of 80 sq cm and a length of 10 cm. What is its perimeter (in cm)?
  9. 9.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  10. 10.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
  11. 11.A rectangle has an area of 42 sq cm and a length of 7 cm. What is its perimeter (in cm)?
  12. 12.A triangle has a base of 30 cm and a height of 19 cm. What is its area (in sq cm)?
  13. 13.A rectangular field is 30 m long and 9 m wide. What is its area (in sq m)?
  14. 14.A garden is 38 m long and 9 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  15. 15.A rectangle has an area of 44 sq cm and a length of 11 cm. What is its perimeter (in cm)?
  16. 16.A garden is 36 m long and 32 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  17. 17.A rectangle has an area of 217 sq cm and a length of 31 cm. What is its perimeter (in cm)?
  18. 18.A triangle has a base of 20 cm and a height of 15 cm. What is its area (in sq cm)?
  19. 19.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  20. 20.A garden is 14 m long and 6 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  21. 21.The perimeter of a square is 92 cm. What is its area (in sq cm)?
  22. 22.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  23. 23.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  24. 24.A park is 17 m long and 16 m wide. Fencing costs ₹21 per metre. What does it cost to fence the park all round (in ₹)?
  25. 25.A rectangular field is 16 m long and 3 m wide. What is its area (in sq m)?
  26. 26.The perimeter of a square is 48 cm. What is its area (in sq cm)?
  27. 27.A park is 38 m long and 34 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
  28. 28.A park is 17 m long and 15 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
  29. 29.A park is 19 m long and 6 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
  30. 30.A garden is 40 m long and 27 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  31. 31.The perimeter of a square is 68 cm. What is its area (in sq cm)?
  32. 32.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
  33. 33.A garden is 24 m long and 20 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  34. 34.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  35. 35.The perimeter of a square is 28 cm. What is its area (in sq cm)?
  36. 36.A garden is 15 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)?
  37. 37.A garden is 15 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)?
  38. 38.A rectangle has an area of 1014 sq cm and a length of 39 cm. What is its perimeter (in cm)?
  39. 39.A park is 39 m long and 10 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
  40. 40.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?

Answer key

  1. 690
  2. 270
  3. 294
  4. 133
  5. 154
  6. 36
  7. 493
  8. 36
  9. 88
  10. 220
  11. 26
  12. 285
  13. 270
  14. 318
  15. 30
  16. 288
  17. 76
  18. 150
  19. 1386
  20. 44
  21. 529
  22. 264
  23. 2464
  24. 1386
  25. 48
  26. 144
  27. 4320
  28. 2304
  29. 750
  30. 438
  31. 289
  32. 18
  33. 192
  34. 176
  35. 49
  36. 60
  37. 54
  38. 130
  39. 3234
  40. 264

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