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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 1 · 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 round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  2. 2.A rectangular field is 17 m long and 5 m wide. What is its area (in sq m)?
  3. 3.A park is 33 m long and 12 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
  4. 4.A rectangular field is 8 m long and 3 m wide. What is its area (in sq m)?
  5. 5.A triangle has a base of 20 cm and a height of 20 cm. What is its area (in sq cm)?
  6. 6.A rectangular field is 37 m long and 31 m wide. What is its area (in sq m)?
  7. 7.A park is 10 m long and 5 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
  8. 8.A triangle has a base of 10 cm and a height of 25 cm. What is its area (in sq cm)?
  9. 9.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  10. 10.A park is 22 m long and 10 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
  11. 11.A triangle has a base of 4 cm and a height of 21 cm. What is its area (in sq cm)?
  12. 12.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  13. 13.The perimeter of a square is 100 cm. What is its area (in sq cm)?
  14. 14.A rectangular field is 28 m long and 10 m wide. What is its area (in sq m)?
  15. 15.A garden is 14 m long and 7 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 round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
  17. 17.A triangle has a base of 28 cm and a height of 4 cm. What is its area (in sq cm)?
  18. 18.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  19. 19.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  20. 20.A garden is 28 m long and 19 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  21. 21.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)?
  22. 22.The perimeter of a square is 28 cm. What is its area (in sq cm)?
  23. 23.A park is 36 m long and 24 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
  24. 24.A rectangle has an area of 60 sq cm and a length of 15 cm. What is its perimeter (in cm)?
  25. 25.A rectangular field is 12 m long and 11 m wide. What is its area (in sq m)?
  26. 26.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  27. 27.A rectangular field is 26 m long and 3 m wide. What is its area (in sq m)?
  28. 28.A garden is 36 m long and 35 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  29. 29.A garden is 40 m long and 9 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  30. 30.A garden is 37 m long and 34 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  31. 31.A triangle has a base of 18 cm and a height of 6 cm. What is its area (in sq cm)?
  32. 32.A rectangle has an area of 119 sq cm and a length of 17 cm. What is its perimeter (in cm)?
  33. 33.The perimeter of a square is 116 cm. What is its area (in sq cm)?
  34. 34.The perimeter of a square is 52 cm. What is its area (in sq cm)?
  35. 35.The perimeter of a square is 16 cm. What is its area (in sq cm)?
  36. 36.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
  37. 37.A garden is 38 m long and 33 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  38. 38.A rectangle has an area of 234 sq cm and a length of 18 cm. What is its perimeter (in cm)?
  39. 39.A garden is 30 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  40. 40.A garden is 21 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?

Answer key

  1. 264
  2. 85
  3. 2790
  4. 24
  5. 200
  6. 1147
  7. 270
  8. 125
  9. 1386
  10. 2432
  11. 42
  12. 176
  13. 625
  14. 280
  15. 162
  16. 220
  17. 56
  18. 154
  19. 2464
  20. 98
  21. 66
  22. 49
  23. 720
  24. 38
  25. 132
  26. 44
  27. 78
  28. 146
  29. 330
  30. 300
  31. 54
  32. 48
  33. 841
  34. 169
  35. 16
  36. 220
  37. 462
  38. 62
  39. 252
  40. 198

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