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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 251 · 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 20 cm and a height of 12 cm. What is its area (in sq cm)?
  2. 2.A rectangle has an area of 18 sq cm and a length of 6 cm. What is its perimeter (in cm)?
  3. 3.A park is 16 m long and 10 m wide. Fencing costs ₹11 per metre. What does it cost to fence the park all round (in ₹)?
  4. 4.A garden is 34 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)?
  5. 5.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  6. 6.A park is 17 m long and 8 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
  7. 7.A rectangle has an area of 252 sq cm and a length of 28 cm. What is its perimeter (in cm)?
  8. 8.A rectangle has an area of 42 sq cm and a length of 14 cm. What is its perimeter (in cm)?
  9. 9.A park is 16 m long and 12 m wide. Fencing costs ₹9 per metre. What does it cost to fence the park all round (in ₹)?
  10. 10.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  11. 11.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  12. 12.A rectangular field is 15 m long and 7 m wide. What is its area (in sq m)?
  13. 13.A rectangular field is 14 m long and 12 m wide. What is its area (in sq m)?
  14. 14.A garden is 34 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)?
  15. 15.A rectangle has an area of 195 sq cm and a length of 15 cm. What is its perimeter (in cm)?
  16. 16.A rectangle has an area of 450 sq cm and a length of 25 cm. What is its perimeter (in cm)?
  17. 17.A park is 46 m long and 45 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
  18. 18.A triangle has a base of 7 cm and a height of 14 cm. What is its area (in sq cm)?
  19. 19.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  20. 20.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  21. 21.A park is 26 m long and 21 m wide. Fencing costs ₹30 per metre. What does it cost to fence the park all round (in ₹)?
  22. 22.The perimeter of a square is 28 cm. What is its area (in sq cm)?
  23. 23.The perimeter of a square is 16 cm. What is its area (in sq cm)?
  24. 24.A garden is 17 m long and 11 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 triangle has a base of 22 cm and a height of 25 cm. What is its area (in sq cm)?
  26. 26.A park is 43 m long and 23 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
  27. 27.The perimeter of a square is 24 cm. What is its area (in sq cm)?
  28. 28.A park is 13 m long and 8 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
  29. 29.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  30. 30.The perimeter of a square is 64 cm. What is its area (in sq cm)?
  31. 31.A park is 48 m long and 15 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
  32. 32.A park is 20 m long and 6 m wide. Fencing costs ₹32 per metre. What does it cost to fence the park all round (in ₹)?
  33. 33.A triangle has a base of 6 cm and a height of 14 cm. What is its area (in sq cm)?
  34. 34.A triangle has a base of 25 cm and a height of 6 cm. What is its area (in sq cm)?
  35. 35.The perimeter of a square is 40 cm. What is its area (in sq cm)?
  36. 36.A triangle has a base of 9 cm and a height of 4 cm. What is its area (in sq cm)?
  37. 37.A triangle has a base of 25 cm and a height of 22 cm. What is its area (in sq cm)?
  38. 38.A rectangle has an area of 384 sq cm and a length of 24 cm. What is its perimeter (in cm)?
  39. 39.A rectangular field is 6 m long and 5 m wide. What is its area (in sq m)?
  40. 40.The perimeter of a square is 116 cm. What is its area (in sq cm)?

Answer key

  1. 120
  2. 18
  3. 572
  4. 306
  5. 44
  6. 1250
  7. 74
  8. 34
  9. 504
  10. 88
  11. 176
  12. 105
  13. 168
  14. 396
  15. 56
  16. 86
  17. 1092
  18. 49
  19. 154
  20. 1386
  21. 2820
  22. 49
  23. 16
  24. 60
  25. 275
  26. 792
  27. 36
  28. 546
  29. 2464
  30. 256
  31. 4158
  32. 1664
  33. 42
  34. 75
  35. 100
  36. 18
  37. 275
  38. 80
  39. 30
  40. 841

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