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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 236 · 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 27 m long and 13 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
  2. 2.A garden is 34 m long and 25 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  3. 3.A park is 59 m long and 53 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
  4. 4.A rectangular field is 24 m long and 18 m wide. What is its area (in sq m)?
  5. 5.A garden is 25 m long and 16 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  6. 6.A triangle has a base of 23 cm and a height of 16 cm. What is its area (in sq cm)?
  7. 7.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its perimeter (in cm)?
  8. 8.The perimeter of a square is 12 cm. What is its area (in sq cm)?
  9. 9.A rectangular field is 12 m long and 8 m wide. What is its area (in sq m)?
  10. 10.A rectangular field is 29 m long and 16 m wide. What is its area (in sq m)?
  11. 11.A triangle has a base of 22 cm and a height of 17 cm. What is its area (in sq cm)?
  12. 12.A park is 46 m long and 7 m wide. Fencing costs ₹37 per metre. What does it cost to fence the park all round (in ₹)?
  13. 13.A rectangular field is 20 m long and 5 m wide. What is its area (in sq m)?
  14. 14.A park is 48 m long and 45 m wide. Fencing costs ₹40 per metre. What does it cost to fence the park all round (in ₹)?
  15. 15.A rectangle has an area of 558 sq cm and a length of 31 cm. What is its perimeter (in cm)?
  16. 16.A rectangular field is 9 m long and 8 m wide. What is its area (in sq m)?
  17. 17.A garden is 16 m long and 6 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  18. 18.A rectangular field is 23 m long and 10 m wide. What is its area (in sq m)?
  19. 19.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  20. 20.A rectangular field is 15 m long and 9 m wide. What is its area (in sq m)?
  21. 21.A park is 13 m long and 12 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
  22. 22.A park is 50 m long and 32 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
  23. 23.A park is 34 m long and 12 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
  24. 24.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
  25. 25.A garden is 24 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)?
  26. 26.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
  27. 27.A triangle has a base of 6 cm and a height of 24 cm. What is its area (in sq cm)?
  28. 28.The perimeter of a square is 16 cm. What is its area (in sq cm)?
  29. 29.A garden is 30 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)?
  30. 30.A rectangular field is 10 m long and 9 m wide. What is its area (in sq m)?
  31. 31.A park is 47 m long and 37 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
  32. 32.A rectangle has an area of 75 sq cm and a length of 25 cm. What is its perimeter (in cm)?
  33. 33.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  34. 34.A rectangular field is 23 m long and 4 m wide. What is its area (in sq m)?
  35. 35.A triangle has a base of 4 cm and a height of 25 cm. What is its area (in sq cm)?
  36. 36.The perimeter of a square is 120 cm. What is its area (in sq cm)?
  37. 37.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  38. 38.A triangle has a base of 26 cm and a height of 6 cm. What is its area (in sq cm)?
  39. 39.A rectangle has an area of 507 sq cm and a length of 39 cm. What is its perimeter (in cm)?
  40. 40.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).

Answer key

  1. 1520
  2. 122
  3. 6272
  4. 432
  5. 282
  6. 184
  7. 44
  8. 9
  9. 96
  10. 464
  11. 187
  12. 3922
  13. 100
  14. 7440
  15. 98
  16. 72
  17. 104
  18. 230
  19. 264
  20. 135
  21. 800
  22. 6232
  23. 1012
  24. 176
  25. 300
  26. 132
  27. 72
  28. 16
  29. 168
  30. 90
  31. 2688
  32. 56
  33. 44
  34. 92
  35. 50
  36. 900
  37. 154
  38. 78
  39. 104
  40. 2464

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