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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 87 · 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 garden is 39 m long and 38 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  2. 2.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its perimeter (in cm)?
  3. 3.A rectangle has an area of 306 sq cm and a length of 34 cm. What is its perimeter (in cm)?
  4. 4.A rectangle has an area of 800 sq cm and a length of 40 cm. What is its perimeter (in cm)?
  5. 5.A park is 43 m long and 35 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
  6. 6.The perimeter of a square is 64 cm. What is its area (in sq cm)?
  7. 7.A rectangle has an area of 120 sq cm and a length of 15 cm. What is its perimeter (in cm)?
  8. 8.A park is 17 m long and 16 m wide. Fencing costs ₹18 per metre. What does it cost to fence the park all round (in ₹)?
  9. 9.A garden is 35 m long and 8 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  10. 10.A rectangular field is 29 m long and 20 m wide. What is its area (in sq m)?
  11. 11.A triangle has a base of 8 cm and a height of 19 cm. What is its area (in sq cm)?
  12. 12.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  13. 13.A rectangular field is 20 m long and 5 m wide. What is its area (in sq m)?
  14. 14.The perimeter of a square is 116 cm. What is its area (in sq cm)?
  15. 15.A rectangle has an area of 957 sq cm and a length of 33 cm. What is its perimeter (in cm)?
  16. 16.A park is 15 m long and 5 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
  17. 17.A park is 33 m long and 19 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
  18. 18.A park is 54 m long and 18 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
  19. 19.A rectangle has an area of 175 sq cm and a length of 35 cm. What is its perimeter (in cm)?
  20. 20.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  21. 21.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  22. 22.A triangle has a base of 21 cm and a height of 6 cm. What is its area (in sq cm)?
  23. 23.A rectangular field is 14 m long and 4 m wide. What is its area (in sq m)?
  24. 24.A rectangle has an area of 160 sq cm and a length of 16 cm. What is its perimeter (in cm)?
  25. 25.A rectangle has an area of 621 sq cm and a length of 27 cm. What is its perimeter (in cm)?
  26. 26.The perimeter of a square is 20 cm. What is its area (in sq cm)?
  27. 27.The perimeter of a square is 16 cm. What is its area (in sq cm)?
  28. 28.A park is 16 m long and 12 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
  29. 29.A park is 42 m long and 12 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
  30. 30.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
  31. 31.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  32. 32.A rectangle has an area of 78 sq cm and a length of 26 cm. What is its perimeter (in cm)?
  33. 33.A triangle has a base of 28 cm and a height of 25 cm. What is its area (in sq cm)?
  34. 34.A park is 25 m long and 22 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
  35. 35.A rectangular field is 35 m long and 19 m wide. What is its area (in sq m)?
  36. 36.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  37. 37.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its perimeter (in cm)?
  38. 38.A park is 35 m long and 24 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
  39. 39.A garden is 22 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)?
  40. 40.A rectangle has an area of 120 sq cm and a length of 30 cm. What is its perimeter (in cm)?

Answer key

  1. 498
  2. 28
  3. 86
  4. 120
  5. 4992
  6. 256
  7. 46
  8. 1188
  9. 90
  10. 580
  11. 76
  12. 176
  13. 100
  14. 841
  15. 124
  16. 440
  17. 1144
  18. 1008
  19. 80
  20. 154
  21. 1386
  22. 63
  23. 56
  24. 52
  25. 100
  26. 25
  27. 16
  28. 1960
  29. 3564
  30. 220
  31. 616
  32. 58
  33. 350
  34. 2068
  35. 665
  36. 44
  37. 18
  38. 3894
  39. 172
  40. 68

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