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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 160 · 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 45 m long and 15 m wide. Fencing costs ₹21 per metre. What does it cost to fence the park all round (in ₹)?
  2. 2.A park is 14 m long and 9 m wide. Fencing costs ₹27 per metre. What does it cost to fence the park all round (in ₹)?
  3. 3.A garden is 33 m long and 10 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  4. 4.A park is 53 m long and 20 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
  5. 5.A triangle has a base of 8 cm and a height of 12 cm. What is its area (in sq cm)?
  6. 6.A rectangular field is 13 m long and 4 m wide. What is its area (in sq m)?
  7. 7.A garden is 17 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)?
  8. 8.The perimeter of a square is 100 cm. What is its area (in sq cm)?
  9. 9.A park is 32 m long and 17 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
  10. 10.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
  11. 11.A rectangular field is 14 m long and 9 m wide. What is its area (in sq m)?
  12. 12.A rectangle has an area of 624 sq cm and a length of 26 cm. What is its perimeter (in cm)?
  13. 13.A triangle has a base of 30 cm and a height of 3 cm. What is its area (in sq cm)?
  14. 14.The perimeter of a square is 36 cm. What is its area (in sq cm)?
  15. 15.The perimeter of a square is 44 cm. What is its area (in sq cm)?
  16. 16.A rectangular field is 8 m long and 3 m wide. What is its area (in sq m)?
  17. 17.A triangle has a base of 22 cm and a height of 20 cm. What is its area (in sq cm)?
  18. 18.A rectangle has an area of 220 sq cm and a length of 20 cm. What is its perimeter (in cm)?
  19. 19.A park is 12 m long and 10 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
  20. 20.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  21. 21.A triangle has a base of 26 cm and a height of 10 cm. What is its area (in sq cm)?
  22. 22.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  23. 23.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
  24. 24.A rectangle has an area of 126 sq cm and a length of 18 cm. What is its perimeter (in cm)?
  25. 25.A garden is 30 m long and 5 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  26. 26.Find the area of a circle of radius 21 cm (take π = 22/7; answer 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 42 m long and 26 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
  29. 29.A triangle has a base of 8 cm and a height of 22 cm. What is its area (in sq cm)?
  30. 30.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its perimeter (in cm)?
  31. 31.The perimeter of a square is 32 cm. What is its area (in sq cm)?
  32. 32.A park is 15 m long and 9 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
  33. 33.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  34. 34.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  35. 35.The perimeter of a square is 120 cm. What is its area (in sq cm)?
  36. 36.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its perimeter (in cm)?
  37. 37.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  38. 38.A garden is 18 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)?
  39. 39.A triangle has a base of 14 cm and a height of 19 cm. What is its area (in sq cm)?
  40. 40.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?

Answer key

  1. 2520
  2. 1242
  3. 90
  4. 1022
  5. 48
  6. 52
  7. 56
  8. 625
  9. 1862
  10. 264
  11. 126
  12. 100
  13. 45
  14. 81
  15. 121
  16. 24
  17. 220
  18. 62
  19. 1144
  20. 88
  21. 130
  22. 154
  23. 132
  24. 50
  25. 156
  26. 1386
  27. 16
  28. 2040
  29. 88
  30. 22
  31. 64
  32. 288
  33. 176
  34. 44
  35. 900
  36. 24
  37. 616
  38. 58
  39. 133
  40. 264

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