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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 114 · 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 round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  2. 2.A garden is 19 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)?
  3. 3.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  4. 4.The perimeter of a square is 16 cm. What is its area (in sq cm)?
  5. 5.A garden is 12 m long and 11 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  6. 6.A rectangular field is 18 m long and 10 m wide. What is its area (in sq m)?
  7. 7.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its perimeter (in cm)?
  8. 8.A garden is 34 m long and 24 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  9. 9.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  10. 10.The perimeter of a square is 64 cm. What is its area (in sq cm)?
  11. 11.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  12. 12.A park is 57 m long and 54 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
  13. 13.A triangle has a base of 6 cm and a height of 18 cm. What is its area (in sq cm)?
  14. 14.A triangle has a base of 18 cm and a height of 18 cm. What is its area (in sq cm)?
  15. 15.A triangle has a base of 24 cm and a height of 15 cm. What is its area (in sq cm)?
  16. 16.A rectangle has an area of 444 sq cm and a length of 37 cm. What is its perimeter (in cm)?
  17. 17.The perimeter of a square is 40 cm. What is its area (in sq cm)?
  18. 18.A park is 19 m long and 18 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
  19. 19.A garden is 16 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)?
  20. 20.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
  21. 21.A rectangle has an area of 558 sq cm and a length of 31 cm. What is its perimeter (in cm)?
  22. 22.A rectangular field is 30 m long and 29 m wide. What is its area (in sq m)?
  23. 23.The perimeter of a square is 68 cm. What is its area (in sq cm)?
  24. 24.A park is 35 m long and 9 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
  25. 25.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
  26. 26.A rectangular field is 21 m long and 10 m wide. What is its area (in sq m)?
  27. 27.A rectangle has an area of 33 sq cm and a length of 11 cm. What is its perimeter (in cm)?
  28. 28.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  29. 29.A garden is 30 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)?
  30. 30.The perimeter of a square is 20 cm. What is its area (in sq cm)?
  31. 31.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  32. 32.A park is 13 m long and 7 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
  33. 33.A garden is 22 m long and 9 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 garden is 16 m long and 6 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  35. 35.A triangle has a base of 10 cm and a height of 25 cm. What is its area (in sq cm)?
  36. 36.A rectangular field is 27 m long and 16 m wide. What is its area (in sq m)?
  37. 37.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
  38. 38.A park is 48 m long and 42 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
  39. 39.A rectangular field is 29 m long and 21 m wide. What is its area (in sq m)?
  40. 40.A rectangular field is 14 m long and 9 m wide. What is its area (in sq m)?

Answer key

  1. 88
  2. 132
  3. 44
  4. 16
  5. 50
  6. 180
  7. 38
  8. 120
  9. 2464
  10. 256
  11. 616
  12. 3552
  13. 54
  14. 162
  15. 180
  16. 98
  17. 100
  18. 592
  19. 60
  20. 220
  21. 98
  22. 870
  23. 289
  24. 2200
  25. 88
  26. 210
  27. 28
  28. 44
  29. 84
  30. 25
  31. 154
  32. 1440
  33. 140
  34. 104
  35. 125
  36. 432
  37. 220
  38. 900
  39. 609
  40. 126

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