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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 17 · 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.

NameDateTime takenScore ___ / 40
  1. 1.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  2. 2.The perimeter of a square is 76 cm. What is its area (in sq cm)?
  3. 3.A garden is 38 m long and 18 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  4. 4.A triangle has a base of 14 cm and a height of 13 cm. What is its area (in sq cm)?
  5. 5.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  6. 6.A triangle has a base of 20 cm and a height of 20 cm. What is its area (in sq cm)?
  7. 7.The perimeter of a square is 48 cm. What is its area (in sq cm)?
  8. 8.A garden is 18 m long and 17 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  9. 9.A rectangle has an area of 70 sq cm and a length of 14 cm. What is its perimeter (in cm)?
  10. 10.A rectangular field is 29 m long and 8 m wide. What is its area (in sq m)?
  11. 11.A rectangular field is 31 m long and 3 m wide. What is its area (in sq m)?
  12. 12.A triangle has a base of 20 cm and a height of 22 cm. What is its area (in sq cm)?
  13. 13.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
  14. 14.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
  15. 15.A park is 39 m long and 16 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 28 cm. What is its area (in sq cm)?
  17. 17.A rectangle has an area of 247 sq cm and a length of 19 cm. What is its perimeter (in cm)?
  18. 18.A park is 47 m long and 36 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
  19. 19.The perimeter of a square is 52 cm. What is its area (in sq cm)?
  20. 20.A rectangle has an area of 1443 sq cm and a length of 39 cm. What is its perimeter (in cm)?
  21. 21.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
  22. 22.A park is 35 m long and 7 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
  23. 23.A garden is 40 m long and 20 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  24. 24.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
  25. 25.A rectangular field is 9 m long and 6 m wide. What is its area (in sq m)?
  26. 26.The perimeter of a square is 36 cm. What is its area (in sq cm)?
  27. 27.A garden is 18 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)?
  28. 28.The perimeter of a square is 100 cm. What is its area (in sq cm)?
  29. 29.A rectangular field is 37 m long and 17 m wide. What is its area (in sq m)?
  30. 30.A park is 38 m long and 32 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
  31. 31.A triangle has a base of 12 cm and a height of 15 cm. What is its area (in sq cm)?
  32. 32.The perimeter of a square is 104 cm. What is its area (in sq cm)?
  33. 33.The perimeter of a square is 64 cm. What is its area (in sq cm)?
  34. 34.A garden is 11 m long and 8 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 rectangle has an area of 665 sq cm and a length of 35 cm. What is its perimeter (in cm)?
  36. 36.The perimeter of a square is 108 cm. What is its area (in sq cm)?
  37. 37.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  38. 38.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  39. 39.A rectangle has an area of 231 sq cm and a length of 21 cm. What is its perimeter (in cm)?
  40. 40.A garden is 38 m long and 19 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?

Answer key

  1. 154
  2. 361
  3. 116
  4. 91
  5. 44
  6. 200
  7. 144
  8. 156
  9. 38
  10. 232
  11. 93
  12. 220
  13. 220
  14. 176
  15. 1870
  16. 49
  17. 64
  18. 5644
  19. 169
  20. 152
  21. 88
  22. 2856
  23. 396
  24. 132
  25. 54
  26. 81
  27. 62
  28. 625
  29. 629
  30. 2800
  31. 90
  32. 676
  33. 256
  34. 92
  35. 108
  36. 729
  37. 616
  38. 1386
  39. 64
  40. 378

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