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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 211 · 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 park is 37 m long and 28 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
  2. 2.A park is 42 m long and 17 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
  3. 3.A park is 49 m long and 17 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
  4. 4.A garden is 12 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)?
  5. 5.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  6. 6.A rectangular field is 10 m long and 3 m wide. What is its area (in sq m)?
  7. 7.A rectangular field is 10 m long and 7 m wide. What is its area (in sq m)?
  8. 8.A garden is 38 m long and 20 m wide. A path 3 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 76 cm. What is its area (in sq cm)?
  10. 10.The perimeter of a square is 52 cm. What is its area (in sq cm)?
  11. 11.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  12. 12.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
  13. 13.A garden is 11 m long and 10 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  14. 14.The perimeter of a square is 100 cm. What is its area (in sq cm)?
  15. 15.A park is 32 m long and 8 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
  16. 16.A rectangular field is 20 m long and 19 m wide. What is its area (in sq m)?
  17. 17.A garden is 40 m long and 12 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  18. 18.A rectangular field is 21 m long and 18 m wide. What is its area (in sq m)?
  19. 19.A triangle has a base of 24 cm and a height of 23 cm. What is its area (in sq cm)?
  20. 20.A rectangle has an area of 518 sq cm and a length of 37 cm. What is its perimeter (in cm)?
  21. 21.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  22. 22.A park is 23 m long and 7 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
  23. 23.A rectangular field is 31 m long and 3 m wide. What is its area (in sq m)?
  24. 24.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  25. 25.A triangle has a base of 15 cm and a height of 14 cm. What is its area (in sq cm)?
  26. 26.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  27. 27.A park is 35 m long and 17 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
  28. 28.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)?
  29. 29.A park is 32 m long and 16 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
  30. 30.A rectangular field is 24 m long and 3 m wide. What is its area (in sq m)?
  31. 31.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
  32. 32.The perimeter of a square is 108 cm. What is its area (in sq cm)?
  33. 33.A garden is 30 m long and 13 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 rectangle has an area of 1221 sq cm and a length of 37 cm. What is its perimeter (in cm)?
  35. 35.A rectangular field is 5 m long and 3 m wide. What is its area (in sq m)?
  36. 36.A garden is 40 m long and 32 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  37. 37.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its perimeter (in cm)?
  38. 38.A rectangular field is 12 m long and 7 m wide. What is its area (in sq m)?
  39. 39.A triangle has a base of 18 cm and a height of 24 cm. What is its area (in sq cm)?
  40. 40.A rectangular field is 26 m long and 15 m wide. What is its area (in sq m)?

Answer key

  1. 3900
  2. 708
  3. 1584
  4. 92
  5. 264
  6. 30
  7. 70
  8. 384
  9. 361
  10. 169
  11. 2464
  12. 132
  13. 100
  14. 625
  15. 2080
  16. 380
  17. 108
  18. 378
  19. 276
  20. 102
  21. 616
  22. 780
  23. 93
  24. 44
  25. 105
  26. 154
  27. 1976
  28. 60
  29. 3360
  30. 72
  31. 220
  32. 729
  33. 188
  34. 140
  35. 15
  36. 468
  37. 50
  38. 84
  39. 216
  40. 390

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