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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 107 · 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 22 cm and a height of 14 cm. What is its area (in sq cm)?
  2. 2.A round wheel has a diameter of 56 cm. What is its circumference (take π = 22/7; in cm)?
  3. 3.A park is 13 m long and 5 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
  4. 4.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  5. 5.The perimeter of a square is 56 cm. What is its area (in sq cm)?
  6. 6.The perimeter of a square is 116 cm. What is its area (in sq cm)?
  7. 7.A rectangle has an area of 72 sq cm and a length of 9 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 11 m long and 8 m wide. What is its area (in sq m)?
  9. 9.A park is 18 m long and 15 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
  10. 10.A rectangle has an area of 528 sq cm and a length of 33 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a square is 16 cm. What is its area (in sq cm)?
  12. 12.A triangle has a base of 20 cm and a height of 23 cm. What is its area (in sq cm)?
  13. 13.A round wheel has a diameter of 14 cm. What is its circumference (take π = 22/7; in cm)?
  14. 14.A garden is 39 m long and 5 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  15. 15.A park is 56 m long and 25 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
  16. 16.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  17. 17.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  18. 18.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  19. 19.A park is 37 m long and 36 m wide. Fencing costs ₹37 per metre. What does it cost to fence the park all round (in ₹)?
  20. 20.The perimeter of a square is 104 cm. What is its area (in sq cm)?
  21. 21.A triangle has a base of 11 cm and a height of 4 cm. What is its area (in sq cm)?
  22. 22.A triangle has a base of 8 cm and a height of 10 cm. What is its area (in sq cm)?
  23. 23.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
  24. 24.The perimeter of a square is 100 cm. What is its area (in sq cm)?
  25. 25.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  26. 26.A triangle has a base of 23 cm and a height of 18 cm. What is its area (in sq cm)?
  27. 27.A triangle has a base of 28 cm and a height of 21 cm. What is its area (in sq cm)?
  28. 28.The perimeter of a square is 84 cm. What is its area (in sq cm)?
  29. 29.The perimeter of a square is 48 cm. What is its area (in sq cm)?
  30. 30.A park is 14 m long and 12 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
  31. 31.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  32. 32.A park is 46 m long and 35 m wide. Fencing costs ₹39 per metre. What does it cost to fence the park all round (in ₹)?
  33. 33.A park is 15 m long and 6 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
  34. 34.A garden is 38 m long and 17 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  35. 35.A rectangular field is 37 m long and 31 m wide. What is its area (in sq m)?
  36. 36.A rectangular field is 8 m long and 5 m wide. What is its area (in sq m)?
  37. 37.A triangle has a base of 10 cm and a height of 6 cm. What is its area (in sq cm)?
  38. 38.A garden is 39 m long and 21 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  39. 39.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  40. 40.A rectangle has an area of 48 sq cm and a length of 8 cm. What is its perimeter (in cm)?

Answer key

  1. 154
  2. 176
  3. 216
  4. 1386
  5. 196
  6. 841
  7. 34
  8. 88
  9. 2508
  10. 98
  11. 16
  12. 230
  13. 44
  14. 92
  15. 2106
  16. 616
  17. 44
  18. 2464
  19. 5402
  20. 676
  21. 22
  22. 40
  23. 88
  24. 625
  25. 154
  26. 207
  27. 294
  28. 441
  29. 144
  30. 2028
  31. 264
  32. 6318
  33. 294
  34. 114
  35. 1147
  36. 40
  37. 30
  38. 124
  39. 88
  40. 28

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