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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 62 · 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 29 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)?
  2. 2.The perimeter of a square is 120 cm. What is its area (in sq cm)?
  3. 3.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  4. 4.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  5. 5.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
  6. 6.The perimeter of a square is 60 cm. What is its area (in sq cm)?
  7. 7.The perimeter of a square is 16 cm. What is its area (in sq cm)?
  8. 8.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its perimeter (in cm)?
  9. 9.A rectangle has an area of 30 sq cm and a length of 6 cm. What is its perimeter (in cm)?
  10. 10.A triangle has a base of 16 cm and a height of 13 cm. What is its area (in sq cm)?
  11. 11.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  12. 12.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  13. 13.A rectangle has an area of 195 sq cm and a length of 15 cm. What is its perimeter (in cm)?
  14. 14.A triangle has a base of 4 cm and a height of 21 cm. What is its area (in sq cm)?
  15. 15.A park is 55 m long and 35 m wide. Fencing costs ₹20 per metre. What does it cost to fence the park all round (in ₹)?
  16. 16.The perimeter of a square is 40 cm. What is its area (in sq cm)?
  17. 17.A park is 29 m long and 5 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
  18. 18.A triangle has a base of 26 cm and a height of 3 cm. What is its area (in sq cm)?
  19. 19.The perimeter of a square is 92 cm. What is its area (in sq cm)?
  20. 20.A rectangle has an area of 288 sq cm and a length of 36 cm. What is its perimeter (in cm)?
  21. 21.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
  22. 22.A rectangle has an area of 125 sq cm and a length of 25 cm. What is its perimeter (in cm)?
  23. 23.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  24. 24.A park is 44 m long and 10 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
  25. 25.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  26. 26.A triangle has a base of 26 cm and a height of 12 cm. What is its area (in sq cm)?
  27. 27.The perimeter of a square is 64 cm. What is its area (in sq cm)?
  28. 28.A rectangular field is 29 m long and 13 m wide. What is its area (in sq m)?
  29. 29.A rectangle has an area of 460 sq cm and a length of 23 cm. What is its perimeter (in cm)?
  30. 30.A rectangle has an area of 130 sq cm and a length of 13 cm. What is its perimeter (in cm)?
  31. 31.A park is 26 m long and 11 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
  32. 32.A garden is 39 m long and 13 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  33. 33.A garden is 39 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)?
  34. 34.A rectangle has an area of 243 sq cm and a length of 27 cm. What is its perimeter (in cm)?
  35. 35.A rectangle has an area of 108 sq cm and a length of 27 cm. What is its perimeter (in cm)?
  36. 36.A rectangular field is 19 m long and 14 m wide. What is its area (in sq m)?
  37. 37.A park is 51 m long and 49 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
  38. 38.A garden is 38 m long and 22 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  39. 39.A park is 39 m long and 19 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
  40. 40.A rectangle has an area of 1008 sq cm and a length of 36 cm. What is its perimeter (in cm)?

Answer key

  1. 212
  2. 900
  3. 176
  4. 154
  5. 264
  6. 225
  7. 16
  8. 44
  9. 22
  10. 104
  11. 264
  12. 1386
  13. 56
  14. 42
  15. 3600
  16. 100
  17. 680
  18. 39
  19. 529
  20. 88
  21. 88
  22. 60
  23. 44
  24. 3132
  25. 88
  26. 156
  27. 256
  28. 377
  29. 86
  30. 46
  31. 666
  32. 224
  33. 192
  34. 72
  35. 62
  36. 266
  37. 1200
  38. 396
  39. 2204
  40. 128

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