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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 198 · 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 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)?
  2. 2.A rectangular field is 24 m long and 6 m wide. What is its area (in sq m)?
  3. 3.A triangle has a base of 10 cm and a height of 25 cm. What is its area (in sq cm)?
  4. 4.A rectangular field is 30 m long and 16 m wide. What is its area (in sq m)?
  5. 5.A rectangular field is 37 m long and 19 m wide. What is its area (in sq m)?
  6. 6.A rectangle has an area of 240 sq cm and a length of 20 cm. What is its perimeter (in cm)?
  7. 7.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  8. 8.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
  9. 9.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  10. 10.The perimeter of a square is 40 cm. What is its area (in sq cm)?
  11. 11.The perimeter of a square is 64 cm. What is its area (in sq cm)?
  12. 12.A rectangular field is 33 m long and 30 m wide. What is its area (in sq m)?
  13. 13.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  14. 14.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  15. 15.A rectangle has an area of 372 sq cm and a length of 31 cm. What is its perimeter (in cm)?
  16. 16.A rectangle has an area of 720 sq cm and a length of 40 cm. What is its perimeter (in cm)?
  17. 17.The perimeter of a square is 92 cm. What is its area (in sq cm)?
  18. 18.A park is 19 m long and 11 m wide. Fencing costs ₹29 per metre. What does it cost to fence the park all round (in ₹)?
  19. 19.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
  20. 20.A triangle has a base of 28 cm and a height of 21 cm. What is its area (in sq cm)?
  21. 21.A park is 16 m long and 14 m wide. Fencing costs ₹34 per metre. What does it cost to fence the park all round (in ₹)?
  22. 22.The perimeter of a square is 12 cm. What is its area (in sq cm)?
  23. 23.A rectangular field is 5 m long and 3 m wide. What is its area (in sq m)?
  24. 24.A rectangle has an area of 609 sq cm and a length of 29 cm. What is its perimeter (in cm)?
  25. 25.A triangle has a base of 6 cm and a height of 6 cm. What is its area (in sq cm)?
  26. 26.A garden is 39 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)?
  27. 27.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  28. 28.A garden is 27 m long and 16 m wide. A path 2 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 450 sq cm and a length of 25 cm. What is its perimeter (in cm)?
  30. 30.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its perimeter (in cm)?
  31. 31.A rectangle has an area of 96 sq cm and a length of 16 cm. What is its perimeter (in cm)?
  32. 32.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  33. 33.The perimeter of a square is 88 cm. What is its area (in sq cm)?
  34. 34.A park is 42 m long and 41 m wide. Fencing costs ₹27 per metre. What does it cost to fence the park all round (in ₹)?
  35. 35.A rectangular field is 34 m long and 26 m wide. What is its area (in sq m)?
  36. 36.The perimeter of a square is 48 cm. What is its area (in sq cm)?
  37. 37.A triangle has a base of 28 cm and a height of 10 cm. What is its area (in sq cm)?
  38. 38.The perimeter of a square is 20 cm. What is its area (in sq cm)?
  39. 39.A park is 11 m long and 9 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
  40. 40.A rectangle has an area of 280 sq cm and a length of 35 cm. What is its perimeter (in cm)?

Answer key

  1. 116
  2. 144
  3. 125
  4. 480
  5. 703
  6. 64
  7. 154
  8. 264
  9. 264
  10. 100
  11. 256
  12. 990
  13. 176
  14. 1386
  15. 86
  16. 116
  17. 529
  18. 1740
  19. 220
  20. 294
  21. 2040
  22. 9
  23. 15
  24. 100
  25. 18
  26. 252
  27. 2464
  28. 188
  29. 86
  30. 20
  31. 44
  32. 616
  33. 484
  34. 4482
  35. 884
  36. 144
  37. 140
  38. 25
  39. 1200
  40. 86

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