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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 150 · 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 park is 19 m long and 8 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
  2. 2.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  3. 3.The perimeter of a square is 120 cm. What is its area (in sq cm)?
  4. 4.The perimeter of a square is 28 cm. What is its area (in sq cm)?
  5. 5.A garden is 21 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)?
  6. 6.A park is 39 m long and 17 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
  7. 7.A rectangle has an area of 209 sq cm and a length of 19 cm. What is its perimeter (in cm)?
  8. 8.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
  9. 9.A garden is 17 m long and 7 m wide. A path 2 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.The perimeter of a square is 112 cm. What is its area (in sq cm)?
  12. 12.A garden is 35 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)?
  13. 13.A garden is 18 m long and 17 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  14. 14.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  15. 15.The perimeter of a square is 36 cm. What is its area (in sq cm)?
  16. 16.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
  17. 17.A park is 26 m long and 13 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
  18. 18.A park is 25 m long and 16 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
  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 21 m long and 20 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 round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  22. 22.The perimeter of a square is 12 cm. What is its area (in sq cm)?
  23. 23.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  24. 24.A triangle has a base of 24 cm and a height of 11 cm. What is its area (in sq cm)?
  25. 25.A rectangle has an area of 972 sq cm and a length of 36 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 15 m long and 6 m wide. What is its area (in sq m)?
  27. 27.A rectangular field is 12 m long and 5 m wide. What is its area (in sq m)?
  28. 28.A rectangle has an area of 36 sq cm and a length of 9 cm. What is its perimeter (in cm)?
  29. 29.A rectangle has an area of 132 sq cm and a length of 22 cm. What is its perimeter (in cm)?
  30. 30.A rectangle has an area of 154 sq cm and a length of 14 cm. What is its perimeter (in cm)?
  31. 31.The perimeter of a square is 72 cm. What is its area (in sq cm)?
  32. 32.A rectangular field is 14 m long and 4 m wide. What is its area (in sq m)?
  33. 33.A triangle has a base of 14 cm and a height of 22 cm. What is its area (in sq cm)?
  34. 34.The perimeter of a square is 104 cm. What is its area (in sq cm)?
  35. 35.A rectangle has an area of 70 sq cm and a length of 10 cm. What is its perimeter (in cm)?
  36. 36.The perimeter of a square is 44 cm. What is its area (in sq cm)?
  37. 37.A rectangular field is 35 m long and 5 m wide. What is its area (in sq m)?
  38. 38.A park is 21 m long and 19 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
  39. 39.A park is 20 m long and 14 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
  40. 40.The perimeter of a square is 40 cm. What is its area (in sq cm)?

Answer key

  1. 1566
  2. 2464
  3. 900
  4. 49
  5. 56
  6. 784
  7. 60
  8. 176
  9. 112
  10. 18
  11. 784
  12. 244
  13. 246
  14. 154
  15. 81
  16. 132
  17. 2652
  18. 410
  19. 88
  20. 180
  21. 264
  22. 9
  23. 1386
  24. 132
  25. 126
  26. 90
  27. 60
  28. 26
  29. 56
  30. 50
  31. 324
  32. 56
  33. 154
  34. 676
  35. 34
  36. 121
  37. 175
  38. 560
  39. 1904
  40. 100

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