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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 195 · 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 9 m long and 5 m wide. What is its area (in sq m)?
  2. 2.A triangle has a base of 16 cm and a height of 20 cm. What is its area (in sq cm)?
  3. 3.A rectangle has an area of 754 sq cm and a length of 29 cm. What is its perimeter (in cm)?
  4. 4.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  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 494 sq cm and a length of 38 cm. What is its perimeter (in cm)?
  7. 7.A rectangle has an area of 450 sq cm and a length of 25 cm. What is its perimeter (in cm)?
  8. 8.A garden is 24 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)?
  9. 9.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
  10. 10.A rectangle has an area of 465 sq cm and a length of 31 cm. What is its perimeter (in cm)?
  11. 11.A park is 25 m long and 19 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
  12. 12.The perimeter of a square is 28 cm. What is its area (in sq cm)?
  13. 13.A garden is 25 m long and 18 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  14. 14.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  15. 15.A park is 30 m long and 18 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
  16. 16.A rectangle has an area of 759 sq cm and a length of 33 cm. What is its perimeter (in cm)?
  17. 17.The perimeter of a square is 92 cm. What is its area (in sq cm)?
  18. 18.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
  19. 19.The perimeter of a square is 100 cm. What is its area (in sq cm)?
  20. 20.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
  21. 21.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  22. 22.A rectangular field is 25 m long and 6 m wide. What is its area (in sq m)?
  23. 23.A triangle has a base of 23 cm and a height of 24 cm. What is its area (in sq cm)?
  24. 24.A park is 16 m long and 15 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
  25. 25.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  26. 26.A rectangular field is 10 m long and 9 m wide. What is its area (in sq m)?
  27. 27.The perimeter of a square is 72 cm. What is its area (in sq cm)?
  28. 28.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
  29. 29.A triangle has a base of 27 cm and a height of 20 cm. What is its area (in sq cm)?
  30. 30.The perimeter of a square is 88 cm. What is its area (in sq cm)?
  31. 31.A garden is 35 m long and 29 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  32. 32.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  33. 33.A rectangle has an area of 1152 sq cm and a length of 36 cm. What is its perimeter (in cm)?
  34. 34.A garden is 24 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)?
  35. 35.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  36. 36.A garden is 18 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)?
  37. 37.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its perimeter (in cm)?
  38. 38.A rectangle has an area of 312 sq cm and a length of 26 cm. What is its perimeter (in cm)?
  39. 39.The perimeter of a square is 64 cm. What is its area (in sq cm)?
  40. 40.The perimeter of a square is 12 cm. What is its area (in sq cm)?

Answer key

  1. 45
  2. 160
  3. 110
  4. 2464
  5. 154
  6. 102
  7. 86
  8. 78
  9. 264
  10. 92
  11. 2728
  12. 49
  13. 188
  14. 176
  15. 768
  16. 112
  17. 529
  18. 220
  19. 625
  20. 132
  21. 44
  22. 150
  23. 276
  24. 1860
  25. 1386
  26. 90
  27. 324
  28. 88
  29. 270
  30. 484
  31. 272
  32. 44
  33. 136
  34. 164
  35. 264
  36. 58
  37. 20
  38. 76
  39. 256
  40. 9

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