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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 214 · 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 15 m long and 6 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 rectangular field is 20 m long and 15 m wide. What is its area (in sq m)?
  3. 3.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  4. 4.A triangle has a base of 10 cm and a height of 11 cm. What is its area (in sq cm)?
  5. 5.A rectangle has an area of 1360 sq cm and a length of 40 cm. What is its perimeter (in cm)?
  6. 6.A park is 30 m long and 20 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
  7. 7.A triangle has a base of 18 cm and a height of 14 cm. What is its area (in sq cm)?
  8. 8.A park is 51 m long and 33 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
  9. 9.A rectangle has an area of 48 sq cm and a length of 16 cm. What is its perimeter (in cm)?
  10. 10.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  11. 11.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its perimeter (in cm)?
  12. 12.A rectangle has an area of 168 sq cm and a length of 28 cm. What is its perimeter (in cm)?
  13. 13.The perimeter of a square is 104 cm. What is its area (in sq cm)?
  14. 14.A rectangle has an area of 15 sq cm and a length of 5 cm. What is its perimeter (in cm)?
  15. 15.The perimeter of a square is 56 cm. What is its area (in sq cm)?
  16. 16.A rectangular field is 16 m long and 4 m wide. What is its area (in sq m)?
  17. 17.A triangle has a base of 30 cm and a height of 24 cm. What is its area (in sq cm)?
  18. 18.A rectangle has an area of 243 sq cm and a length of 27 cm. What is its perimeter (in cm)?
  19. 19.A park is 36 m long and 17 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
  20. 20.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
  21. 21.A rectangular field is 22 m long and 11 m wide. What is its area (in sq m)?
  22. 22.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  23. 23.A triangle has a base of 28 cm and a height of 20 cm. What is its area (in sq cm)?
  24. 24.A garden is 16 m long and 15 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 rectangular field is 13 m long and 7 m wide. What is its area (in sq m)?
  26. 26.A rectangle has an area of 630 sq cm and a length of 30 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 23 m long and 13 m wide. What is its area (in sq m)?
  28. 28.A rectangular field is 30 m long and 24 m wide. What is its area (in sq m)?
  29. 29.A triangle has a base of 12 cm and a height of 24 cm. What is its area (in sq cm)?
  30. 30.A rectangle has an area of 448 sq cm and a length of 28 cm. What is its perimeter (in cm)?
  31. 31.A rectangle has an area of 768 sq cm and a length of 32 cm. What is its perimeter (in cm)?
  32. 32.A garden is 18 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 rectangle has an area of 272 sq cm and a length of 17 cm. What is its perimeter (in cm)?
  34. 34.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  35. 35.A rectangular field is 5 m long and 3 m wide. What is its area (in sq m)?
  36. 36.A rectangle has an area of 406 sq cm and a length of 29 cm. What is its perimeter (in cm)?
  37. 37.A rectangular field is 30 m long and 21 m wide. What is its area (in sq m)?
  38. 38.A park is 26 m long and 21 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
  39. 39.A triangle has a base of 8 cm and a height of 14 cm. What is its area (in sq cm)?
  40. 40.A rectangular field is 20 m long and 6 m wide. What is its area (in sq m)?

Answer key

  1. 46
  2. 300
  3. 154
  4. 55
  5. 148
  6. 3800
  7. 126
  8. 1344
  9. 38
  10. 44
  11. 20
  12. 68
  13. 676
  14. 16
  15. 196
  16. 64
  17. 360
  18. 72
  19. 3286
  20. 88
  21. 242
  22. 264
  23. 280
  24. 66
  25. 91
  26. 102
  27. 299
  28. 720
  29. 144
  30. 88
  31. 112
  32. 140
  33. 66
  34. 2464
  35. 15
  36. 86
  37. 630
  38. 752
  39. 56
  40. 120

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