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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 3 · 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.

NameDateTime takenScore ___ / 40
  1. 1.A park is 29 m long and 22 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
  2. 2.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its perimeter (in cm)?
  3. 3.A rectangle has an area of 234 sq cm and a length of 26 cm. What is its perimeter (in cm)?
  4. 4.A garden is 26 m long and 20 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  5. 5.A garden is 25 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)?
  6. 6.A park is 21 m long and 13 m wide. Fencing costs ₹27 per metre. What does it cost to fence the park all round (in ₹)?
  7. 7.A park is 10 m long and 6 m wide. Fencing costs ₹24 per metre. What does it cost to fence the park all round (in ₹)?
  8. 8.The perimeter of a square is 32 cm. What is its area (in sq cm)?
  9. 9.A garden is 32 m long and 15 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  10. 10.A garden is 11 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)?
  11. 11.A round wheel has a diameter of 42 cm. What is its circumference (take π = 22/7; in cm)?
  12. 12.A garden is 19 m long and 5 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  13. 13.A rectangular field is 34 m long and 25 m wide. What is its area (in sq m)?
  14. 14.A park is 13 m long and 10 m wide. Fencing costs ₹10 per metre. What does it cost to fence the park all round (in ₹)?
  15. 15.A rectangular field is 31 m long and 9 m wide. What is its area (in sq m)?
  16. 16.A rectangle has an area of 198 sq cm and a length of 18 cm. What is its perimeter (in cm)?
  17. 17.A rectangle has an area of 24 sq cm and a length of 8 cm. What is its perimeter (in cm)?
  18. 18.A rectangle has an area of 540 sq cm and a length of 27 cm. What is its perimeter (in cm)?
  19. 19.A triangle has a base of 6 cm and a height of 24 cm. What is its area (in sq cm)?
  20. 20.A rectangular field is 20 m long and 8 m wide. What is its area (in sq m)?
  21. 21.A garden is 24 m long and 18 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  22. 22.A rectangle has an area of 114 sq cm and a length of 19 cm. What is its perimeter (in cm)?
  23. 23.A round wheel has a diameter of 84 cm. What is its circumference (take π = 22/7; in cm)?
  24. 24.A park is 19 m long and 18 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
  25. 25.A round wheel has a radius of 14 cm. What is its circumference (take π = 22/7; in cm)?
  26. 26.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  27. 27.A rectangle has an area of 448 sq cm and a length of 32 cm. What is its perimeter (in cm)?
  28. 28.A rectangle has an area of 306 sq cm and a length of 34 cm. What is its perimeter (in cm)?
  29. 29.A round wheel has a diameter of 70 cm. What is its circumference (take π = 22/7; in cm)?
  30. 30.A park is 57 m long and 20 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
  31. 31.A garden is 37 m long and 29 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  32. 32.A triangle has a base of 24 cm and a height of 21 cm. What is its area (in sq cm)?
  33. 33.A park is 32 m long and 26 m wide. Fencing costs ₹38 per metre. What does it cost to fence the park all round (in ₹)?
  34. 34.The perimeter of a square is 64 cm. What is its area (in sq cm)?
  35. 35.A park is 12 m long and 5 m wide. Fencing costs ₹7 per metre. What does it cost to fence the park all round (in ₹)?
  36. 36.A rectangle has an area of 986 sq cm and a length of 34 cm. What is its perimeter (in cm)?
  37. 37.A rectangular field is 14 m long and 8 m wide. What is its area (in sq m)?
  38. 38.A rectangular field is 31 m long and 8 m wide. What is its area (in sq m)?
  39. 39.A triangle has a base of 29 cm and a height of 4 cm. What is its area (in sq cm)?
  40. 40.A rectangle has an area of 140 sq cm and a length of 28 cm. What is its perimeter (in cm)?

Answer key

  1. 612
  2. 24
  3. 70
  4. 96
  5. 270
  6. 1836
  7. 768
  8. 64
  9. 98
  10. 36
  11. 132
  12. 112
  13. 850
  14. 460
  15. 279
  16. 58
  17. 22
  18. 94
  19. 72
  20. 160
  21. 88
  22. 50
  23. 264
  24. 2442
  25. 88
  26. 1386
  27. 92
  28. 86
  29. 220
  30. 2926
  31. 136
  32. 252
  33. 4408
  34. 256
  35. 238
  36. 126
  37. 112
  38. 248
  39. 58
  40. 66

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