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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 306 · 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 14 cm (take π = 22/7; answer in sq cm).
  2. 2.A rectangle has an area of 165 sq cm and a length of 33 cm. What is its perimeter (in cm)?
  3. 3.A garden is 27 m long and 25 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 garden is 19 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)?
  5. 5.A rectangle has an area of 85 sq cm and a length of 17 cm. What is its perimeter (in cm)?
  6. 6.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  7. 7.A garden is 32 m long and 26 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  8. 8.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  9. 9.The perimeter of a square is 32 cm. What is its area (in sq cm)?
  10. 10.A garden is 13 m long and 11 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  11. 11.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  12. 12.A garden is 40 m long and 31 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  13. 13.A garden is 36 m long and 22 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 rectangle has an area of 1040 sq cm and a length of 40 cm. What is its perimeter (in cm)?
  15. 15.The perimeter of a square is 108 cm. What is its area (in sq cm)?
  16. 16.The perimeter of a square is 28 cm. What is its area (in sq cm)?
  17. 17.A rectangle has an area of 75 sq cm and a length of 15 cm. What is its perimeter (in cm)?
  18. 18.A rectangle has an area of 50 sq cm and a length of 10 cm. What is its perimeter (in cm)?
  19. 19.A triangle has a base of 30 cm and a height of 9 cm. What is its area (in sq cm)?
  20. 20.A rectangular field is 10 m long and 3 m wide. What is its area (in sq m)?
  21. 21.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
  22. 22.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
  23. 23.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
  24. 24.The perimeter of a square is 112 cm. What is its area (in sq cm)?
  25. 25.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its perimeter (in cm)?
  26. 26.A triangle has a base of 4 cm and a height of 22 cm. What is its area (in sq cm)?
  27. 27.A rectangular field is 10 m long and 4 m wide. What is its area (in sq m)?
  28. 28.The perimeter of a square is 60 cm. What is its area (in sq cm)?
  29. 29.The perimeter of a square is 20 cm. What is its area (in sq cm)?
  30. 30.A rectangle has an area of 493 sq cm and a length of 29 cm. What is its perimeter (in cm)?
  31. 31.A garden is 19 m long and 15 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  32. 32.A rectangle has an area of 210 sq cm and a length of 21 cm. What is its perimeter (in cm)?
  33. 33.A rectangular field is 24 m long and 12 m wide. What is its area (in sq m)?
  34. 34.A garden is 18 m long and 5 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  35. 35.A park is 16 m long and 14 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
  36. 36.A rectangle has an area of 300 sq cm and a length of 25 cm. What is its perimeter (in cm)?
  37. 37.The perimeter of a square is 36 cm. What is its area (in sq cm)?
  38. 38.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
  39. 39.A rectangular field is 21 m long and 19 m wide. What is its area (in sq m)?
  40. 40.The perimeter of a square is 100 cm. What is its area (in sq cm)?

Answer key

  1. 616
  2. 76
  3. 348
  4. 68
  5. 44
  6. 154
  7. 384
  8. 2464
  9. 64
  10. 180
  11. 1386
  12. 300
  13. 248
  14. 132
  15. 729
  16. 49
  17. 40
  18. 30
  19. 135
  20. 30
  21. 220
  22. 176
  23. 88
  24. 784
  25. 50
  26. 44
  27. 40
  28. 225
  29. 25
  30. 92
  31. 72
  32. 62
  33. 288
  34. 50
  35. 1320
  36. 74
  37. 81
  38. 132
  39. 399
  40. 625

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