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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 66 · 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 38 m long and 32 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  2. 2.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  3. 3.A park is 50 m long and 11 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
  4. 4.A rectangle has an area of 1160 sq cm and a length of 40 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a square is 96 cm. What is its area (in sq cm)?
  6. 6.A garden is 33 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)?
  7. 7.A park is 36 m long and 12 m wide. Fencing costs ₹24 per metre. What does it cost to fence the park all round (in ₹)?
  8. 8.A garden is 16 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)?
  9. 9.A garden is 15 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)?
  10. 10.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
  11. 11.A park is 24 m long and 8 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
  12. 12.A rectangular field is 34 m long and 30 m wide. What is its area (in sq m)?
  13. 13.A rectangle has an area of 80 sq cm and a length of 16 cm. What is its perimeter (in cm)?
  14. 14.A triangle has a base of 8 cm and a height of 13 cm. What is its area (in sq cm)?
  15. 15.A rectangle has an area of 396 sq cm and a length of 22 cm. What is its perimeter (in cm)?
  16. 16.A rectangular field is 5 m long and 3 m wide. What is its area (in sq m)?
  17. 17.A rectangular field is 22 m long and 18 m wide. What is its area (in sq m)?
  18. 18.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  19. 19.A rectangle has an area of 416 sq cm and a length of 32 cm. What is its perimeter (in cm)?
  20. 20.A rectangular field is 27 m long and 4 m wide. What is its area (in sq m)?
  21. 21.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its perimeter (in cm)?
  22. 22.A rectangular field is 26 m long and 18 m wide. What is its area (in sq m)?
  23. 23.A rectangle has an area of 180 sq cm and a length of 18 cm. What is its perimeter (in cm)?
  24. 24.A garden is 16 m long and 14 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  25. 25.A park is 24 m long and 6 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
  26. 26.A garden is 20 m long and 10 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  27. 27.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its perimeter (in cm)?
  28. 28.A park is 51 m long and 7 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
  29. 29.A park is 57 m long and 30 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
  30. 30.A garden is 17 m long and 10 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  31. 31.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  32. 32.A rectangular field is 39 m long and 12 m wide. What is its area (in sq m)?
  33. 33.A triangle has a base of 8 cm and a height of 14 cm. What is its area (in sq cm)?
  34. 34.A garden is 18 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)?
  35. 35.A park is 41 m long and 29 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
  36. 36.A park is 58 m long and 13 m wide. Fencing costs ₹36 per metre. What does it cost to fence the park all round (in ₹)?
  37. 37.A rectangle has an area of 230 sq cm and a length of 23 cm. What is its perimeter (in cm)?
  38. 38.A rectangular field is 38 m long and 30 m wide. What is its area (in sq m)?
  39. 39.A rectangular field is 26 m long and 12 m wide. What is its area (in sq m)?
  40. 40.A triangle has a base of 28 cm and a height of 14 cm. What is its area (in sq cm)?

Answer key

  1. 144
  2. 616
  3. 1342
  4. 138
  5. 576
  6. 228
  7. 2304
  8. 60
  9. 96
  10. 132
  11. 384
  12. 1020
  13. 42
  14. 52
  15. 80
  16. 15
  17. 396
  18. 2464
  19. 90
  20. 108
  21. 20
  22. 468
  23. 56
  24. 64
  25. 2040
  26. 136
  27. 24
  28. 3828
  29. 5568
  30. 124
  31. 154
  32. 468
  33. 56
  34. 56
  35. 1400
  36. 5112
  37. 66
  38. 1140
  39. 312
  40. 196

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