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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 89 · 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.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  2. 2.The perimeter of a square is 96 cm. What is its area (in sq cm)?
  3. 3.A park is 17 m long and 7 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
  4. 4.A rectangle has an area of 768 sq cm and a length of 32 cm. What is its perimeter (in cm)?
  5. 5.A rectangle has an area of 99 sq cm and a length of 33 cm. What is its perimeter (in cm)?
  6. 6.The perimeter of a square is 64 cm. What is its area (in sq cm)?
  7. 7.A garden is 11 m long and 8 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  8. 8.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  9. 9.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  10. 10.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  11. 11.A rectangle has an area of 396 sq cm and a length of 36 cm. What is its perimeter (in cm)?
  12. 12.A garden is 28 m long and 20 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  13. 13.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its perimeter (in cm)?
  14. 14.A park is 51 m long and 38 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
  15. 15.A park is 27 m long and 6 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
  16. 16.The perimeter of a square is 36 cm. What is its area (in sq cm)?
  17. 17.A park is 13 m long and 11 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
  18. 18.A rectangle has an area of 35 sq cm and a length of 7 cm. What is its perimeter (in cm)?
  19. 19.A garden is 17 m long and 16 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  20. 20.The perimeter of a square is 104 cm. What is its area (in sq cm)?
  21. 21.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  22. 22.A garden is 26 m long and 15 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  23. 23.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  24. 24.A park is 28 m long and 9 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
  25. 25.A rectangular field is 5 m long and 3 m wide. What is its area (in sq m)?
  26. 26.A rectangular field is 26 m long and 6 m wide. What is its area (in sq m)?
  27. 27.A rectangle has an area of 280 sq cm and a length of 40 cm. What is its perimeter (in cm)?
  28. 28.A garden is 30 m long and 8 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  29. 29.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
  30. 30.A rectangle has an area of 165 sq cm and a length of 15 cm. What is its perimeter (in cm)?
  31. 31.A triangle has a base of 6 cm and a height of 21 cm. What is its area (in sq cm)?
  32. 32.The perimeter of a square is 28 cm. What is its area (in sq cm)?
  33. 33.A park is 37 m long and 30 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
  34. 34.A triangle has a base of 23 cm and a height of 8 cm. What is its area (in sq cm)?
  35. 35.A rectangular field is 25 m long and 21 m wide. What is its area (in sq m)?
  36. 36.A triangle has a base of 4 cm and a height of 10 cm. What is its area (in sq cm)?
  37. 37.A rectangle has an area of 208 sq cm and a length of 16 cm. What is its perimeter (in cm)?
  38. 38.A rectangular field is 22 m long and 4 m wide. What is its area (in sq m)?
  39. 39.A rectangle has an area of 180 sq cm and a length of 30 cm. What is its perimeter (in cm)?
  40. 40.A rectangle has an area of 858 sq cm and a length of 39 cm. What is its perimeter (in cm)?

Answer key

  1. 154
  2. 576
  3. 1200
  4. 112
  5. 72
  6. 256
  7. 150
  8. 44
  9. 2464
  10. 1386
  11. 94
  12. 208
  13. 22
  14. 2670
  15. 2508
  16. 81
  17. 1536
  18. 24
  19. 70
  20. 676
  21. 616
  22. 86
  23. 176
  24. 2220
  25. 15
  26. 156
  27. 94
  28. 264
  29. 132
  30. 52
  31. 63
  32. 49
  33. 2948
  34. 92
  35. 525
  36. 20
  37. 58
  38. 88
  39. 72
  40. 122

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