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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 182 · 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 39 m long and 26 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  2. 2.A park is 12 m long and 11 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
  3. 3.A rectangular field is 14 m long and 10 m wide. What is its area (in sq m)?
  4. 4.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  5. 5.A park is 11 m long and 7 m wide. Fencing costs ₹22 per metre. What does it cost to fence the park all round (in ₹)?
  6. 6.A park is 22 m long and 16 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
  7. 7.A rectangular field is 36 m long and 18 m wide. What is its area (in sq m)?
  8. 8.A rectangular field is 22 m long and 13 m wide. What is its area (in sq m)?
  9. 9.The perimeter of a square is 28 cm. What is its area (in sq cm)?
  10. 10.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
  11. 11.A triangle has a base of 20 cm and a height of 13 cm. What is its area (in sq cm)?
  12. 12.A rectangle has an area of 304 sq cm and a length of 19 cm. What is its perimeter (in cm)?
  13. 13.A triangle has a base of 17 cm and a height of 22 cm. What is its area (in sq cm)?
  14. 14.A rectangular field is 28 m long and 3 m wide. What is its area (in sq m)?
  15. 15.A garden is 18 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)?
  16. 16.A park is 28 m long and 22 m wide. Fencing costs ₹24 per metre. What does it cost to fence the park all round (in ₹)?
  17. 17.A rectangular field is 12 m long and 4 m wide. What is its area (in sq m)?
  18. 18.A rectangular field is 36 m long and 9 m wide. What is its area (in sq m)?
  19. 19.A rectangular field is 27 m long and 8 m wide. What is its area (in sq m)?
  20. 20.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  21. 21.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  22. 22.A garden is 40 m long and 27 m wide. A path 2 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 14 cm. What is its circumference (take π = 22/7; in cm)?
  24. 24.A triangle has a base of 14 cm and a height of 11 cm. What is its area (in sq cm)?
  25. 25.A park is 13 m long and 10 m wide. Fencing costs ₹18 per metre. What does it cost to fence the park all round (in ₹)?
  26. 26.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  27. 27.A rectangle has an area of 322 sq cm and a length of 23 cm. What is its perimeter (in cm)?
  28. 28.A rectangular field is 16 m long and 5 m wide. What is its area (in sq m)?
  29. 29.A rectangular field is 13 m long and 4 m wide. What is its area (in sq m)?
  30. 30.A park is 30 m long and 21 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
  31. 31.A park is 39 m long and 12 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
  32. 32.A garden is 19 m long and 14 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  33. 33.A rectangle has an area of 760 sq cm and a length of 38 cm. What is its perimeter (in cm)?
  34. 34.A garden is 14 m long and 11 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 triangle has a base of 4 cm and a height of 19 cm. What is its area (in sq cm)?
  36. 36.A rectangular field is 32 m long and 23 m wide. What is its area (in sq m)?
  37. 37.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
  38. 38.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  39. 39.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its perimeter (in cm)?
  40. 40.A rectangular field is 9 m long and 3 m wide. What is its area (in sq m)?

Answer key

  1. 134
  2. 1288
  3. 140
  4. 154
  5. 792
  6. 456
  7. 648
  8. 286
  9. 49
  10. 132
  11. 130
  12. 70
  13. 187
  14. 84
  15. 192
  16. 2400
  17. 48
  18. 324
  19. 216
  20. 616
  21. 44
  22. 284
  23. 44
  24. 77
  25. 828
  26. 1386
  27. 74
  28. 80
  29. 52
  30. 1938
  31. 3264
  32. 234
  33. 116
  34. 54
  35. 38
  36. 736
  37. 88
  38. 88
  39. 42
  40. 27

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