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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 237 · 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 20 m long and 11 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 garden is 13 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)?
  3. 3.The perimeter of a square is 64 cm. What is its area (in sq cm)?
  4. 4.A rectangle has an area of 84 sq cm and a length of 12 cm. What is its perimeter (in cm)?
  5. 5.A triangle has a base of 8 cm and a height of 24 cm. What is its area (in sq cm)?
  6. 6.A garden is 11 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)?
  7. 7.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  8. 8.A garden is 25 m long and 23 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 triangle has a base of 10 cm and a height of 21 cm. What is its area (in sq cm)?
  10. 10.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  11. 11.The perimeter of a square is 44 cm. What is its area (in sq cm)?
  12. 12.A garden is 16 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)?
  13. 13.A park is 58 m long and 55 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
  14. 14.The perimeter of a square is 88 cm. What is its area (in sq cm)?
  15. 15.A rectangular field is 6 m long and 5 m wide. What is its area (in sq m)?
  16. 16.The perimeter of a square is 104 cm. What is its area (in sq cm)?
  17. 17.A garden is 31 m long and 18 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  18. 18.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  19. 19.A rectangular field is 18 m long and 5 m wide. What is its area (in sq m)?
  20. 20.A rectangle has an area of 290 sq cm and a length of 29 cm. What is its perimeter (in cm)?
  21. 21.A park is 48 m long and 26 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
  22. 22.A rectangle has an area of 648 sq cm and a length of 27 cm. What is its perimeter (in cm)?
  23. 23.A rectangular field is 36 m long and 27 m wide. What is its area (in sq m)?
  24. 24.A rectangle has an area of 999 sq cm and a length of 37 cm. What is its perimeter (in cm)?
  25. 25.A garden is 27 m long and 13 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  26. 26.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its perimeter (in cm)?
  27. 27.A rectangle has an area of 192 sq cm and a length of 16 cm. What is its perimeter (in cm)?
  28. 28.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  29. 29.A garden is 36 m long and 12 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  30. 30.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
  31. 31.A rectangle has an area of 646 sq cm and a length of 34 cm. What is its perimeter (in cm)?
  32. 32.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; 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 rectangle has an area of 195 sq cm and a length of 15 cm. What is its perimeter (in cm)?
  35. 35.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  36. 36.A garden is 13 m long and 11 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  37. 37.A rectangle has an area of 928 sq cm and a length of 32 cm. What is its perimeter (in cm)?
  38. 38.A rectangular field is 33 m long and 9 m wide. What is its area (in sq m)?
  39. 39.The perimeter of a square is 52 cm. What is its area (in sq cm)?
  40. 40.A garden is 12 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)?

Answer key

  1. 222
  2. 104
  3. 256
  4. 38
  5. 96
  6. 42
  7. 44
  8. 100
  9. 105
  10. 2464
  11. 121
  12. 180
  13. 8136
  14. 484
  15. 30
  16. 676
  17. 330
  18. 88
  19. 90
  20. 78
  21. 1924
  22. 102
  23. 972
  24. 128
  25. 84
  26. 22
  27. 56
  28. 154
  29. 100
  30. 220
  31. 106
  32. 264
  33. 44
  34. 56
  35. 1386
  36. 180
  37. 122
  38. 297
  39. 169
  40. 84

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