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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 234 · 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 triangle has a base of 22 cm and a height of 9 cm. What is its area (in sq cm)?
  2. 2.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  3. 3.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  4. 4.The perimeter of a square is 108 cm. What is its area (in sq cm)?
  5. 5.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  6. 6.A garden is 39 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)?
  7. 7.A park is 10 m long and 5 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
  8. 8.A rectangular field is 26 m long and 17 m wide. What is its area (in sq m)?
  9. 9.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
  10. 10.A rectangle has an area of 30 sq cm and a length of 10 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a square is 80 cm. What is its area (in sq cm)?
  12. 12.A garden is 20 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)?
  13. 13.A park is 56 m long and 37 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
  14. 14.A park is 29 m long and 7 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
  15. 15.A park is 54 m long and 36 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
  16. 16.The perimeter of a square is 48 cm. What is its area (in sq cm)?
  17. 17.A rectangular field is 14 m long and 7 m wide. What is its area (in sq m)?
  18. 18.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
  19. 19.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
  20. 20.A garden is 30 m long and 24 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  21. 21.A rectangular field is 33 m long and 4 m wide. What is its area (in sq m)?
  22. 22.A rectangle has an area of 350 sq cm and a length of 25 cm. What is its perimeter (in cm)?
  23. 23.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  24. 24.A rectangular field is 6 m long and 5 m wide. What is its area (in sq m)?
  25. 25.A garden is 10 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)?
  26. 26.A rectangular field is 20 m long and 12 m wide. What is its area (in sq m)?
  27. 27.A rectangular field is 10 m long and 6 m wide. What is its area (in sq m)?
  28. 28.The perimeter of a square is 104 cm. What is its area (in sq cm)?
  29. 29.A rectangle has an area of 208 sq cm and a length of 16 cm. What is its perimeter (in cm)?
  30. 30.A garden is 39 m long and 27 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  31. 31.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  32. 32.A triangle has a base of 18 cm and a height of 21 cm. What is its area (in sq cm)?
  33. 33.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  34. 34.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)?
  35. 35.A rectangular field is 24 m long and 22 m wide. What is its area (in sq m)?
  36. 36.A garden is 28 m long and 23 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  37. 37.A garden is 30 m long and 21 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  38. 38.A park is 32 m long and 5 m wide. Fencing costs ₹17 per metre. What does it cost to fence the park all round (in ₹)?
  39. 39.The perimeter of a square is 68 cm. What is its area (in sq cm)?
  40. 40.A rectangular field is 14 m long and 8 m wide. What is its area (in sq m)?

Answer key

  1. 99
  2. 154
  3. 1386
  4. 729
  5. 88
  6. 336
  7. 600
  8. 442
  9. 176
  10. 26
  11. 400
  12. 66
  13. 1860
  14. 648
  15. 3060
  16. 144
  17. 98
  18. 220
  19. 88
  20. 232
  21. 132
  22. 78
  23. 44
  24. 30
  25. 34
  26. 240
  27. 60
  28. 676
  29. 58
  30. 432
  31. 2464
  32. 189
  33. 616
  34. 50
  35. 528
  36. 220
  37. 220
  38. 1258
  39. 289
  40. 112

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