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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 82 · 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.Find the area of a circle of radius 14 cm (take π = 22/7; answer in sq cm).
  2. 2.A garden is 22 m long and 19 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  3. 3.A park is 24 m long and 11 m wide. Fencing costs ₹37 per metre. What does it cost to fence the park all round (in ₹)?
  4. 4.A rectangular field is 8 m long and 6 m wide. What is its area (in sq m)?
  5. 5.The perimeter of a square is 28 cm. What is its area (in sq cm)?
  6. 6.A rectangle has an area of 90 sq cm and a length of 15 cm. What is its perimeter (in cm)?
  7. 7.A triangle has a base of 28 cm and a height of 9 cm. What is its area (in sq cm)?
  8. 8.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  9. 9.A rectangle has an area of 20 sq cm and a length of 5 cm. What is its perimeter (in cm)?
  10. 10.The perimeter of a square is 16 cm. What is its area (in sq cm)?
  11. 11.A garden is 22 m long and 14 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  12. 12.A triangle has a base of 22 cm and a height of 6 cm. What is its area (in sq cm)?
  13. 13.The perimeter of a square is 48 cm. What is its area (in sq cm)?
  14. 14.A rectangular field is 20 m long and 11 m wide. What is its area (in sq m)?
  15. 15.A round wheel has a diameter of 28 cm. What is its circumference (take π = 22/7; in cm)?
  16. 16.A rectangle has an area of 28 sq cm and a length of 7 cm. What is its perimeter (in cm)?
  17. 17.A rectangle has an area of 406 sq cm and a length of 29 cm. What is its perimeter (in cm)?
  18. 18.A garden is 16 m long and 12 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 garden is 32 m long and 13 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  20. 20.A rectangular field is 7 m long and 4 m wide. What is its area (in sq m)?
  21. 21.A rectangular field is 9 m long and 7 m wide. What is its area (in sq m)?
  22. 22.A park is 25 m long and 13 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
  23. 23.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  24. 24.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  25. 25.A park is 30 m long and 16 m wide. Fencing costs ₹25 per metre. What does it cost to fence the park all round (in ₹)?
  26. 26.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
  27. 27.A rectangle has an area of 75 sq cm and a length of 25 cm. What is its perimeter (in cm)?
  28. 28.A rectangular field is 25 m long and 16 m wide. What is its area (in sq m)?
  29. 29.A rectangular field is 16 m long and 3 m wide. What is its area (in sq m)?
  30. 30.A triangle has a base of 7 cm and a height of 20 cm. What is its area (in sq cm)?
  31. 31.A garden is 18 m long and 14 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  32. 32.A park is 44 m long and 42 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
  33. 33.The perimeter of a square is 12 cm. What is its area (in sq cm)?
  34. 34.A garden is 26 m long and 8 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 triangle has a base of 16 cm and a height of 21 cm. What is its area (in sq cm)?
  36. 36.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  37. 37.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  38. 38.A triangle has a base of 5 cm and a height of 12 cm. What is its area (in sq cm)?
  39. 39.A rectangle has an area of 231 sq cm and a length of 21 cm. What is its perimeter (in cm)?
  40. 40.A rectangle has an area of 812 sq cm and a length of 29 cm. What is its perimeter (in cm)?

Answer key

  1. 616
  2. 282
  3. 2590
  4. 48
  5. 49
  6. 42
  7. 126
  8. 1386
  9. 18
  10. 16
  11. 252
  12. 66
  13. 144
  14. 220
  15. 88
  16. 22
  17. 86
  18. 128
  19. 306
  20. 28
  21. 63
  22. 1900
  23. 2464
  24. 154
  25. 2300
  26. 264
  27. 56
  28. 400
  29. 48
  30. 70
  31. 228
  32. 6536
  33. 9
  34. 72
  35. 168
  36. 88
  37. 44
  38. 30
  39. 64
  40. 114

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