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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 121 · 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 triangle has a base of 12 cm and a height of 20 cm. What is its area (in sq cm)?
  2. 2.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
  3. 3.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  4. 4.A garden is 35 m long and 21 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  5. 5.A rectangle has an area of 850 sq cm and a length of 34 cm. What is its perimeter (in cm)?
  6. 6.The perimeter of a square is 100 cm. What is its area (in sq cm)?
  7. 7.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  8. 8.The perimeter of a square is 76 cm. What is its area (in sq cm)?
  9. 9.A park is 35 m long and 10 m wide. Fencing costs ₹12 per metre. What does it cost to fence the park all round (in ₹)?
  10. 10.A rectangular field is 17 m long and 3 m wide. What is its area (in sq m)?
  11. 11.A park is 25 m long and 8 m wide. Fencing costs ₹14 per metre. What does it cost to fence the park all round (in ₹)?
  12. 12.A triangle has a base of 28 cm and a height of 5 cm. What is its area (in sq cm)?
  13. 13.A rectangular field is 14 m long and 3 m wide. What is its area (in sq m)?
  14. 14.A rectangle has an area of 32 sq cm and a length of 8 cm. What is its perimeter (in cm)?
  15. 15.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  16. 16.A park is 15 m long and 10 m wide. Fencing costs ₹28 per metre. What does it cost to fence the park all round (in ₹)?
  17. 17.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  18. 18.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
  19. 19.A rectangular field is 16 m long and 13 m wide. What is its area (in sq m)?
  20. 20.A triangle has a base of 4 cm and a height of 21 cm. What is its area (in sq cm)?
  21. 21.The perimeter of a square is 68 cm. What is its area (in sq cm)?
  22. 22.A park is 54 m long and 22 m wide. Fencing costs ₹35 per metre. What does it cost to fence the park all round (in ₹)?
  23. 23.A triangle has a base of 30 cm and a height of 10 cm. What is its area (in sq cm)?
  24. 24.A park is 11 m long and 9 m wide. Fencing costs ₹15 per metre. What does it cost to fence the park all round (in ₹)?
  25. 25.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its perimeter (in cm)?
  26. 26.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  27. 27.A garden is 28 m long and 26 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  28. 28.A garden is 36 m long and 17 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 garden is 14 m long and 9 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  30. 30.The perimeter of a square is 52 cm. What is its area (in sq cm)?
  31. 31.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
  32. 32.A triangle has a base of 12 cm and a height of 4 cm. What is its area (in sq cm)?
  33. 33.A rectangular field is 11 m long and 7 m wide. What is its area (in sq m)?
  34. 34.The perimeter of a square is 120 cm. What is its area (in sq cm)?
  35. 35.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
  36. 36.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
  37. 37.A triangle has a base of 4 cm and a height of 25 cm. What is its area (in sq cm)?
  38. 38.A park is 28 m long and 19 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
  39. 39.A triangle has a base of 19 cm and a height of 16 cm. What is its area (in sq cm)?
  40. 40.A garden is 27 m long and 19 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?

Answer key

  1. 120
  2. 220
  3. 154
  4. 240
  5. 118
  6. 625
  7. 44
  8. 361
  9. 1080
  10. 51
  11. 924
  12. 70
  13. 42
  14. 24
  15. 616
  16. 1400
  17. 1386
  18. 132
  19. 208
  20. 42
  21. 289
  22. 5320
  23. 150
  24. 600
  25. 20
  26. 264
  27. 360
  28. 228
  29. 50
  30. 169
  31. 88
  32. 24
  33. 77
  34. 900
  35. 220
  36. 264
  37. 50
  38. 3666
  39. 152
  40. 200

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