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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 216 · 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 rectangular field is 21 m long and 7 m wide. What is its area (in sq m)?
  2. 2.A rectangle has an area of 21 sq cm and a length of 7 cm. What is its perimeter (in cm)?
  3. 3.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
  4. 4.A triangle has a base of 11 cm and a height of 6 cm. What is its area (in sq cm)?
  5. 5.The perimeter of a square is 100 cm. What is its area (in sq cm)?
  6. 6.A triangle has a base of 26 cm and a height of 18 cm. What is its area (in sq cm)?
  7. 7.The perimeter of a square is 36 cm. What is its area (in sq cm)?
  8. 8.The perimeter of a square is 24 cm. What is its area (in sq cm)?
  9. 9.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  10. 10.A round wheel has a radius of 35 cm. What is its circumference (take π = 22/7; in cm)?
  11. 11.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  12. 12.A rectangle has an area of 63 sq cm and a length of 9 cm. What is its perimeter (in cm)?
  13. 13.A triangle has a base of 7 cm and a height of 24 cm. What is its area (in sq cm)?
  14. 14.A garden is 12 m long and 11 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  15. 15.A rectangular field is 5 m long and 3 m wide. What is its area (in sq m)?
  16. 16.A garden is 24 m long and 14 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  17. 17.A rectangular field is 17 m long and 7 m wide. What is its area (in sq m)?
  18. 18.A garden is 32 m long and 18 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  19. 19.A park is 10 m long and 9 m wide. Fencing costs ₹8 per metre. What does it cost to fence the park all round (in ₹)?
  20. 20.A park is 40 m long and 22 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
  21. 21.A park is 50 m long and 30 m wide. Fencing costs ₹16 per metre. What does it cost to fence the park all round (in ₹)?
  22. 22.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  23. 23.A park is 16 m long and 7 m wide. Fencing costs ₹21 per metre. What does it cost to fence the park all round (in ₹)?
  24. 24.A park is 18 m long and 8 m wide. Fencing costs ₹31 per metre. What does it cost to fence the park all round (in ₹)?
  25. 25.A garden is 13 m long and 8 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  26. 26.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
  27. 27.A rectangular field is 11 m long and 6 m wide. What is its area (in sq m)?
  28. 28.The perimeter of a square is 52 cm. What is its area (in sq cm)?
  29. 29.A garden is 24 m long and 7 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 112 cm. What is its area (in sq cm)?
  31. 31.A triangle has a base of 12 cm and a height of 14 cm. What is its area (in sq cm)?
  32. 32.A round wheel has a radius of 28 cm. What is its circumference (take π = 22/7; in cm)?
  33. 33.A garden is 12 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)?
  34. 34.A round wheel has a radius of 21 cm. What is its circumference (take π = 22/7; in cm)?
  35. 35.A garden is 20 m long and 12 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  36. 36.A garden is 40 m long and 30 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  37. 37.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  38. 38.A rectangle has an area of 264 sq cm and a length of 24 cm. What is its perimeter (in cm)?
  39. 39.A rectangular field is 31 m long and 29 m wide. What is its area (in sq m)?
  40. 40.The perimeter of a square is 20 cm. What is its area (in sq cm)?

Answer key

  1. 147
  2. 20
  3. 264
  4. 33
  5. 625
  6. 234
  7. 81
  8. 36
  9. 2464
  10. 220
  11. 1386
  12. 32
  13. 84
  14. 174
  15. 15
  16. 168
  17. 119
  18. 216
  19. 304
  20. 4092
  21. 2560
  22. 176
  23. 966
  24. 1612
  25. 162
  26. 220
  27. 66
  28. 169
  29. 66
  30. 784
  31. 84
  32. 176
  33. 100
  34. 132
  35. 228
  36. 296
  37. 154
  38. 70
  39. 899
  40. 25

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