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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 27 · 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 59 m long and 7 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
  2. 2.A rectangular field is 40 m long and 4 m wide. What is its area (in sq m)?
  3. 3.A garden is 20 m long and 10 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  4. 4.A rectangle has an area of 242 sq cm and a length of 22 cm. What is its perimeter (in cm)?
  5. 5.The perimeter of a square is 68 cm. What is its area (in sq cm)?
  6. 6.The perimeter of a square is 12 cm. What is its area (in sq cm)?
  7. 7.A park is 55 m long and 12 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
  8. 8.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  9. 9.A garden is 12 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)?
  10. 10.A rectangular field is 26 m long and 22 m wide. What is its area (in sq m)?
  11. 11.A park is 54 m long and 39 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
  12. 12.A garden is 10 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)?
  13. 13.A park is 50 m long and 15 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
  14. 14.A park is 13 m long and 8 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
  15. 15.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its perimeter (in cm)?
  16. 16.A garden is 16 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)?
  17. 17.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  18. 18.A rectangular field is 35 m long and 17 m wide. What is its area (in sq m)?
  19. 19.A rectangular field is 39 m long and 13 m wide. What is its area (in sq m)?
  20. 20.The perimeter of a square is 80 cm. What is its area (in sq cm)?
  21. 21.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
  22. 22.The perimeter of a square is 108 cm. What is its area (in sq cm)?
  23. 23.A garden is 25 m long and 22 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  24. 24.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
  25. 25.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  26. 26.A rectangular field is 10 m long and 3 m wide. What is its area (in sq m)?
  27. 27.A rectangular field is 8 m long and 5 m wide. What is its area (in sq m)?
  28. 28.A park is 28 m long and 22 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
  29. 29.A rectangular field is 38 m long and 11 m wide. What is its area (in sq m)?
  30. 30.A rectangle has an area of 40 sq cm and a length of 10 cm. What is its perimeter (in cm)?
  31. 31.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its perimeter (in cm)?
  32. 32.A rectangle has an area of 840 sq cm and a length of 35 cm. What is its perimeter (in cm)?
  33. 33.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
  34. 34.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  35. 35.A park is 29 m long and 23 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
  36. 36.A triangle has a base of 24 cm and a height of 7 cm. What is its area (in sq cm)?
  37. 37.A rectangle has an area of 1023 sq cm and a length of 33 cm. What is its perimeter (in cm)?
  38. 38.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  39. 39.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  40. 40.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).

Answer key

  1. 2640
  2. 160
  3. 216
  4. 66
  5. 289
  6. 9
  7. 1474
  8. 616
  9. 174
  10. 572
  11. 2232
  12. 40
  13. 5070
  14. 420
  15. 24
  16. 116
  17. 154
  18. 595
  19. 507
  20. 400
  21. 132
  22. 729
  23. 98
  24. 220
  25. 264
  26. 30
  27. 40
  28. 1200
  29. 418
  30. 28
  31. 42
  32. 118
  33. 264
  34. 176
  35. 1976
  36. 84
  37. 128
  38. 44
  39. 1386
  40. 2464

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