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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 7 · 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 56 m long and 47 m wide. Fencing costs ₹37 per metre. What does it cost to fence the park all round (in ₹)?
  2. 2.A rectangular field is 17 m long and 7 m wide. What is its area (in sq m)?
  3. 3.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  4. 4.A park is 31 m long and 7 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
  5. 5.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  6. 6.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  7. 7.A park is 10 m long and 6 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
  8. 8.A garden is 11 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)?
  9. 9.A rectangle has an area of 306 sq cm and a length of 18 cm. What is its perimeter (in cm)?
  10. 10.The perimeter of a square is 120 cm. What is its area (in sq cm)?
  11. 11.The perimeter of a square is 88 cm. What is its area (in sq cm)?
  12. 12.A rectangular field is 34 m long and 30 m wide. What is its area (in sq m)?
  13. 13.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
  14. 14.A garden is 14 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)?
  15. 15.A rectangle has an area of 476 sq cm and a length of 28 cm. What is its perimeter (in cm)?
  16. 16.The perimeter of a square is 52 cm. What is its area (in sq cm)?
  17. 17.A park is 55 m long and 17 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
  18. 18.A park is 37 m long and 20 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
  19. 19.A rectangular field is 33 m long and 5 m wide. What is its area (in sq m)?
  20. 20.A park is 35 m long and 30 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
  21. 21.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  22. 22.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  23. 23.A rectangular field is 37 m long and 11 m wide. What is its area (in sq m)?
  24. 24.A garden is 17 m long and 9 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  25. 25.The perimeter of a square is 44 cm. What is its area (in sq cm)?
  26. 26.A park is 34 m long and 11 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
  27. 27.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
  28. 28.A rectangle has an area of 560 sq cm and a length of 35 cm. What is its perimeter (in cm)?
  29. 29.A triangle has a base of 22 cm and a height of 9 cm. What is its area (in sq cm)?
  30. 30.A triangle has a base of 7 cm and a height of 4 cm. What is its area (in sq cm)?
  31. 31.A triangle has a base of 10 cm and a height of 25 cm. What is its area (in sq cm)?
  32. 32.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
  33. 33.A triangle has a base of 28 cm and a height of 22 cm. What is its area (in sq cm)?
  34. 34.A triangle has a base of 25 cm and a height of 14 cm. What is its area (in sq cm)?
  35. 35.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its perimeter (in cm)?
  36. 36.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  37. 37.A rectangular field is 21 m long and 11 m wide. What is its area (in sq m)?
  38. 38.A rectangular field is 39 m long and 22 m wide. What is its area (in sq m)?
  39. 39.A triangle has a base of 8 cm and a height of 15 cm. What is its area (in sq cm)?
  40. 40.A garden is 39 m long and 12 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?

Answer key

  1. 7622
  2. 119
  3. 154
  4. 608
  5. 88
  6. 2464
  7. 960
  8. 36
  9. 70
  10. 900
  11. 484
  12. 1020
  13. 132
  14. 48
  15. 90
  16. 169
  17. 1008
  18. 4446
  19. 165
  20. 1040
  21. 616
  22. 1386
  23. 407
  24. 120
  25. 121
  26. 2250
  27. 176
  28. 102
  29. 99
  30. 14
  31. 125
  32. 220
  33. 308
  34. 175
  35. 18
  36. 44
  37. 231
  38. 858
  39. 60
  40. 220

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