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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 101 · 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.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  2. 2.A rectangular field is 27 m long and 14 m wide. What is its area (in sq m)?
  3. 3.A park is 54 m long and 12 m wide. Fencing costs ₹21 per metre. What does it cost to fence the park all round (in ₹)?
  4. 4.The perimeter of a square is 12 cm. What is its area (in sq cm)?
  5. 5.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
  6. 6.The perimeter of a square is 68 cm. What is its area (in sq cm)?
  7. 7.A triangle has a base of 19 cm and a height of 16 cm. What is its area (in sq cm)?
  8. 8.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  9. 9.A triangle has a base of 4 cm and a height of 5 cm. What is its area (in sq cm)?
  10. 10.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  11. 11.A rectangle has an area of 186 sq cm and a length of 31 cm. What is its perimeter (in cm)?
  12. 12.A rectangle has an area of 168 sq cm and a length of 21 cm. What is its perimeter (in cm)?
  13. 13.The perimeter of a square is 96 cm. What is its area (in sq cm)?
  14. 14.A triangle has a base of 12 cm and a height of 17 cm. What is its area (in sq cm)?
  15. 15.A rectangular field is 12 m long and 11 m wide. What is its area (in sq m)?
  16. 16.A triangle has a base of 12 cm and a height of 8 cm. What is its area (in sq cm)?
  17. 17.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  18. 18.A garden is 38 m long and 5 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  19. 19.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  20. 20.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  21. 21.The perimeter of a square is 100 cm. What is its area (in sq cm)?
  22. 22.A park is 17 m long and 7 m wide. Fencing costs ₹23 per metre. What does it cost to fence the park all round (in ₹)?
  23. 23.The perimeter of a square is 80 cm. What is its area (in sq cm)?
  24. 24.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its perimeter (in cm)?
  25. 25.A park is 56 m long and 38 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
  26. 26.A triangle has a base of 16 cm and a height of 3 cm. What is its area (in sq cm)?
  27. 27.A garden is 33 m long and 31 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  28. 28.A garden is 37 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)?
  29. 29.A rectangular field is 32 m long and 17 m wide. What is its area (in sq m)?
  30. 30.A rectangular field is 14 m long and 4 m wide. What is its area (in sq m)?
  31. 31.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  32. 32.A rectangular field is 38 m long and 23 m wide. What is its area (in sq m)?
  33. 33.A rectangle has an area of 384 sq cm and a length of 24 cm. What is its perimeter (in cm)?
  34. 34.A rectangle has an area of 75 sq cm and a length of 25 cm. What is its perimeter (in cm)?
  35. 35.A rectangle has an area of 340 sq cm and a length of 34 cm. What is its perimeter (in cm)?
  36. 36.A garden is 31 m long and 14 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  37. 37.The perimeter of a square is 16 cm. What is its area (in sq cm)?
  38. 38.A rectangle has an area of 170 sq cm and a length of 17 cm. What is its perimeter (in cm)?
  39. 39.A garden is 40 m long and 16 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  40. 40.A rectangular field is 16 m long and 6 m wide. What is its area (in sq m)?

Answer key

  1. 2464
  2. 378
  3. 2772
  4. 9
  5. 264
  6. 289
  7. 152
  8. 1386
  9. 10
  10. 616
  11. 74
  12. 58
  13. 576
  14. 102
  15. 132
  16. 48
  17. 44
  18. 294
  19. 176
  20. 44
  21. 625
  22. 1104
  23. 400
  24. 46
  25. 3196
  26. 24
  27. 420
  28. 90
  29. 544
  30. 56
  31. 154
  32. 874
  33. 80
  34. 56
  35. 88
  36. 94
  37. 16
  38. 54
  39. 240
  40. 96

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