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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 159 · 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 21 cm (take π = 22/7; answer in sq cm).
  2. 2.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
  3. 3.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  4. 4.A garden is 32 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)?
  5. 5.A triangle has a base of 21 cm and a height of 14 cm. What is its area (in sq cm)?
  6. 6.A garden is 26 m long and 24 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  7. 7.The perimeter of a square is 104 cm. What is its area (in sq cm)?
  8. 8.A rectangle has an area of 96 sq cm and a length of 24 cm. What is its perimeter (in cm)?
  9. 9.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
  10. 10.A park is 32 m long and 5 m wide. Fencing costs ₹5 per metre. What does it cost to fence the park all round (in ₹)?
  11. 11.A rectangle has an area of 924 sq cm and a length of 33 cm. What is its perimeter (in cm)?
  12. 12.A park is 41 m long and 6 m wide. Fencing costs ₹21 per metre. What does it cost to fence the park all round (in ₹)?
  13. 13.The perimeter of a square is 32 cm. What is its area (in sq cm)?
  14. 14.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
  15. 15.A rectangle has an area of 84 sq cm and a length of 28 cm. What is its perimeter (in cm)?
  16. 16.A garden is 14 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)?
  17. 17.A park is 59 m long and 6 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
  18. 18.A rectangle has an area of 374 sq cm and a length of 22 cm. What is its perimeter (in cm)?
  19. 19.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  20. 20.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its perimeter (in cm)?
  21. 21.A garden is 30 m long and 21 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  22. 22.A garden is 40 m long and 39 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  23. 23.A rectangle has an area of 384 sq cm and a length of 24 cm. What is its perimeter (in cm)?
  24. 24.A park is 20 m long and 9 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
  25. 25.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  26. 26.A rectangle has an area of 900 sq cm and a length of 36 cm. What is its perimeter (in cm)?
  27. 27.A rectangle has an area of 672 sq cm and a length of 28 cm. What is its perimeter (in cm)?
  28. 28.A garden is 23 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 rectangle has an area of 32 sq cm and a length of 8 cm. What is its perimeter (in cm)?
  30. 30.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
  31. 31.The perimeter of a square is 116 cm. What is its area (in sq cm)?
  32. 32.A park is 47 m long and 8 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
  33. 33.A park is 19 m long and 12 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
  34. 34.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
  35. 35.A rectangle has an area of 888 sq cm and a length of 37 cm. What is its perimeter (in cm)?
  36. 36.A rectangle has an area of 110 sq cm and a length of 11 cm. What is its perimeter (in cm)?
  37. 37.A garden is 37 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)?
  38. 38.A rectangular field is 8 m long and 3 m wide. What is its area (in sq m)?
  39. 39.A rectangle has an area of 1326 sq cm and a length of 39 cm. What is its perimeter (in cm)?
  40. 40.A triangle has a base of 18 cm and a height of 24 cm. What is its area (in sq cm)?

Answer key

  1. 1386
  2. 132
  3. 264
  4. 276
  5. 147
  6. 216
  7. 676
  8. 56
  9. 220
  10. 370
  11. 122
  12. 1974
  13. 64
  14. 132
  15. 62
  16. 112
  17. 1170
  18. 78
  19. 2464
  20. 22
  21. 342
  22. 510
  23. 80
  24. 580
  25. 154
  26. 122
  27. 104
  28. 222
  29. 24
  30. 264
  31. 841
  32. 1650
  33. 1798
  34. 220
  35. 122
  36. 42
  37. 142
  38. 24
  39. 146
  40. 216

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