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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 64 · 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 park is 42 m long and 40 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
  3. 3.The perimeter of a square is 120 cm. What is its area (in sq cm)?
  4. 4.A park is 45 m long and 6 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
  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 360 sq cm and a length of 40 cm. What is its perimeter (in cm)?
  7. 7.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its perimeter (in cm)?
  8. 8.A park is 58 m long and 38 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
  9. 9.A garden is 18 m long and 16 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  10. 10.A rectangular field is 6 m long and 3 m wide. What is its area (in sq m)?
  11. 11.A park is 48 m long and 14 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
  12. 12.A triangle has a base of 12 cm and a height of 18 cm. What is its area (in sq cm)?
  13. 13.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  14. 14.A garden is 20 m long and 12 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  15. 15.A garden is 17 m long and 12 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  16. 16.A triangle has a base of 14 cm and a height of 14 cm. What is its area (in sq cm)?
  17. 17.A rectangle has an area of 133 sq cm and a length of 19 cm. What is its perimeter (in cm)?
  18. 18.A rectangle has an area of 1209 sq cm and a length of 39 cm. What is its perimeter (in cm)?
  19. 19.A triangle has a base of 20 cm and a height of 22 cm. What is its area (in sq cm)?
  20. 20.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
  21. 21.A rectangle has an area of 704 sq cm and a length of 32 cm. What is its perimeter (in cm)?
  22. 22.A park is 16 m long and 13 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
  23. 23.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  24. 24.A rectangle has an area of 225 sq cm and a length of 25 cm. What is its perimeter (in cm)?
  25. 25.A triangle has a base of 12 cm and a height of 15 cm. What is its area (in sq cm)?
  26. 26.A garden is 28 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)?
  27. 27.A triangle has a base of 13 cm and a height of 6 cm. What is its area (in sq cm)?
  28. 28.A rectangular field is 20 m long and 3 m wide. What is its area (in sq m)?
  29. 29.A rectangle has an area of 250 sq cm and a length of 25 cm. What is its perimeter (in cm)?
  30. 30.A garden is 15 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  31. 31.A park is 44 m long and 26 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
  32. 32.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
  33. 33.A triangle has a base of 16 cm and a height of 9 cm. What is its area (in sq cm)?
  34. 34.The perimeter of a square is 64 cm. What is its area (in sq cm)?
  35. 35.The perimeter of a square is 76 cm. What is its area (in sq cm)?
  36. 36.The perimeter of a square is 24 cm. What is its area (in sq cm)?
  37. 37.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  38. 38.The perimeter of a square is 40 cm. What is its area (in sq cm)?
  39. 39.A garden is 10 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)?
  40. 40.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).

Answer key

  1. 2464
  2. 6396
  3. 900
  4. 2550
  5. 154
  6. 98
  7. 16
  8. 4992
  9. 240
  10. 18
  11. 1364
  12. 108
  13. 616
  14. 144
  15. 132
  16. 98
  17. 52
  18. 140
  19. 220
  20. 88
  21. 108
  22. 812
  23. 44
  24. 68
  25. 90
  26. 180
  27. 39
  28. 60
  29. 70
  30. 162
  31. 980
  32. 132
  33. 72
  34. 256
  35. 361
  36. 36
  37. 264
  38. 100
  39. 42
  40. 1386

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