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Area and Perimeter Worksheet

Quantitative aptitude lesson 25: Area and perimeter · Set 156 · 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 rectangle has an area of 351 sq cm and a length of 39 cm. What is its perimeter (in cm)?
  2. 2.A garden is 17 m long and 10 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 rectangular field is 19 m long and 11 m wide. What is its area (in sq m)?
  4. 4.A park is 41 m long and 27 m wide. Fencing costs ₹19 per metre. What does it cost to fence the park all round (in ₹)?
  5. 5.A rectangle has an area of 444 sq cm and a length of 37 cm. What is its perimeter (in cm)?
  6. 6.The perimeter of a square is 72 cm. What is its area (in sq cm)?
  7. 7.A triangle has a base of 16 cm and a height of 22 cm. What is its area (in sq cm)?
  8. 8.A triangle has a base of 9 cm and a height of 20 cm. What is its area (in sq cm)?
  9. 9.A rectangle has an area of 240 sq cm and a length of 40 cm. What is its perimeter (in cm)?
  10. 10.A garden is 19 m long and 6 m wide. A path 3 m wide runs all round it, outside. What is the area of the path (in sq m)?
  11. 11.A park is 13 m long and 9 m wide. Fencing costs ₹6 per metre. What does it cost to fence the park all round (in ₹)?
  12. 12.A round wheel has a radius of 42 cm. What is its circumference (take π = 22/7; in cm)?
  13. 13.The perimeter of a square is 36 cm. What is its area (in sq cm)?
  14. 14.A rectangle has an area of 143 sq cm and a length of 13 cm. What is its perimeter (in cm)?
  15. 15.The perimeter of a square is 64 cm. What is its area (in sq cm)?
  16. 16.A garden is 27 m long and 23 m wide. A path 1 m wide runs all round it, outside. What is the area of the path (in sq m)?
  17. 17.A garden is 38 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)?
  18. 18.The perimeter of a square is 112 cm. What is its area (in sq cm)?
  19. 19.Find the area of a circle of radius 28 cm (take π = 22/7; answer in sq cm).
  20. 20.A garden is 26 m long and 6 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  21. 21.A park is 29 m long and 27 m wide. Fencing costs ₹24 per metre. What does it cost to fence the park all round (in ₹)?
  22. 22.A park is 11 m long and 9 m wide. Fencing costs ₹26 per metre. What does it cost to fence the park all round (in ₹)?
  23. 23.A rectangle has an area of 510 sq cm and a length of 34 cm. What is its perimeter (in cm)?
  24. 24.A rectangular field is 8 m long and 6 m wide. What is its area (in sq m)?
  25. 25.A rectangle has an area of 27 sq cm and a length of 9 cm. What is its perimeter (in cm)?
  26. 26.A rectangle has an area of 270 sq cm and a length of 27 cm. What is its perimeter (in cm)?
  27. 27.A park is 13 m long and 7 m wide. Fencing costs ₹33 per metre. What does it cost to fence the park all round (in ₹)?
  28. 28.A round wheel has a radius of 7 cm. What is its circumference (take π = 22/7; in cm)?
  29. 29.A garden is 14 m long and 8 m wide. A path 2 m wide runs all round it, outside. What is the area of the path (in sq m)?
  30. 30.A park is 39 m long and 8 m wide. Fencing costs ₹13 per metre. What does it cost to fence the park all round (in ₹)?
  31. 31.Find the area of a circle of radius 21 cm (take π = 22/7; answer in sq cm).
  32. 32.The perimeter of a square is 20 cm. What is its area (in sq cm)?
  33. 33.A rectangular field is 21 m long and 12 m wide. What is its area (in sq m)?
  34. 34.A triangle has a base of 4 cm and a height of 7 cm. What is its area (in sq cm)?
  35. 35.A triangle has a base of 10 cm and a height of 10 cm. What is its area (in sq cm)?
  36. 36.A rectangle has an area of 620 sq cm and a length of 31 cm. What is its perimeter (in cm)?
  37. 37.A rectangle has an area of 280 sq cm and a length of 28 cm. What is its perimeter (in cm)?
  38. 38.A garden is 16 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)?
  39. 39.Find the area of a circle of radius 7 cm (take π = 22/7; answer in sq cm).
  40. 40.The perimeter of a square is 52 cm. What is its area (in sq cm)?

Answer key

  1. 96
  2. 198
  3. 209
  4. 2584
  5. 98
  6. 324
  7. 176
  8. 90
  9. 92
  10. 186
  11. 264
  12. 264
  13. 81
  14. 48
  15. 256
  16. 104
  17. 204
  18. 784
  19. 2464
  20. 144
  21. 2688
  22. 1040
  23. 98
  24. 48
  25. 24
  26. 74
  27. 1320
  28. 44
  29. 104
  30. 1222
  31. 1386
  32. 25
  33. 252
  34. 14
  35. 50
  36. 102
  37. 76
  38. 204
  39. 154
  40. 169

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