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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 171 · 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 rectangular field is 35 m long and 32 m wide. What is its area (in sq m)?
  2. 2.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its perimeter (in cm)?
  3. 3.The perimeter of a square is 40 cm. What is its area (in sq cm)?
  4. 4.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  5. 5.A rectangular field is 30 m long and 25 m wide. What is its area (in sq m)?
  6. 6.A garden is 38 m long and 28 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  7. 7.A park is 54 m long and 32 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
  8. 8.A rectangle has an area of 408 sq cm and a length of 34 cm. What is its perimeter (in cm)?
  9. 9.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  10. 10.A park is 30 m long and 15 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
  11. 11.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
  12. 12.A triangle has a base of 18 cm and a height of 23 cm. What is its area (in sq cm)?
  13. 13.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
  14. 14.A triangle has a base of 4 cm and a height of 6 cm. What is its area (in sq cm)?
  15. 15.The perimeter of a square is 72 cm. What is its area (in sq cm)?
  16. 16.A triangle has a base of 9 cm and a height of 16 cm. What is its area (in sq cm)?
  17. 17.A park is 56 m long and 17 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
  18. 18.A triangle has a base of 14 cm and a height of 15 cm. What is its area (in sq cm)?
  19. 19.A triangle has a base of 23 cm and a height of 14 cm. What is its area (in sq cm)?
  20. 20.A rectangular field is 25 m long and 3 m wide. What is its area (in sq m)?
  21. 21.A garden is 29 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)?
  22. 22.A garden is 17 m long and 15 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  23. 23.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its perimeter (in cm)?
  24. 24.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  25. 25.A garden is 17 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)?
  26. 26.A rectangular field is 21 m long and 6 m wide. What is its area (in sq m)?
  27. 27.A rectangle has an area of 66 sq cm and a length of 22 cm. What is its perimeter (in cm)?
  28. 28.The perimeter of a square is 28 cm. What is its area (in sq cm)?
  29. 29.A triangle has a base of 5 cm and a height of 14 cm. What is its area (in sq cm)?
  30. 30.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  31. 31.A rectangle has an area of 216 sq cm and a length of 36 cm. What is its perimeter (in cm)?
  32. 32.A rectangle has an area of 170 sq cm and a length of 34 cm. What is its perimeter (in cm)?
  33. 33.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  34. 34.A garden is 23 m long and 11 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  35. 35.The perimeter of a square is 64 cm. What is its area (in sq cm)?
  36. 36.A garden is 19 m long and 15 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  37. 37.A rectangular field is 38 m long and 30 m wide. What is its area (in sq m)?
  38. 38.A park is 38 m long and 30 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
  39. 39.A garden is 16 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)?
  40. 40.A garden is 12 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)?

Answer key

  1. 1120
  2. 38
  3. 100
  4. 616
  5. 750
  6. 280
  7. 6192
  8. 92
  9. 154
  10. 3240
  11. 220
  12. 207
  13. 264
  14. 12
  15. 324
  16. 72
  17. 730
  18. 105
  19. 161
  20. 75
  21. 80
  22. 228
  23. 16
  24. 2464
  25. 116
  26. 126
  27. 50
  28. 49
  29. 35
  30. 44
  31. 84
  32. 78
  33. 176
  34. 152
  35. 256
  36. 240
  37. 1140
  38. 1632
  39. 46
  40. 38

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