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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 291 · 40 sums
TalentJR

The method (Around or inside): Perimeter of a regular shape = number of sides × side. Rectangle: 2 × (length + width). Area of a rectangle = length × width; square = side × side. Cost of fencing = perimeter × rate per metre; cost of painting = area × rate per square metre. Cut-out shape: area of the big rectangle − area of the part cut out.

NameDateTime takenScore ___ / 40
  1. 1.A rectangular field is 100 m long and 40 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  3. 3.A wall is 12 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A square has a perimeter of 60 cm. What is its area (in square cm)?
  5. 5.A square has a perimeter of 68 cm. What is its area (in square cm)?
  6. 6.The perimeter of a rectangle is 62 cm and its length is 17 cm. What is its width (in cm)?
  7. 7.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.From a rectangle 19 cm long and 6 cm wide, a rectangle 14 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  10. 10.Each side of a square is 18 cm. What is its perimeter (in cm)?
  11. 11.Each side of a regular pentagon is 13 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 100 m long and 95 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A square has a perimeter of 72 cm. What is its area (in square cm)?
  15. 15.A square has a perimeter of 12 cm. What is its area (in square cm)?
  16. 16.The perimeter of a rectangle is 32 cm and its length is 12 cm. What is its width (in cm)?
  17. 17.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  18. 18.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.The perimeter of a rectangle is 108 cm and its length is 29 cm. What is its width (in cm)?
  20. 20.A wall is 3 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.Each side of a square is 11 cm. What is its perimeter (in cm)?
  22. 22.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.Each side of a square is 24 cm. What is its perimeter (in cm)?
  24. 24.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.The perimeter of a rectangle is 62 cm and its length is 22 cm. What is its width (in cm)?
  28. 28.A square has a perimeter of 56 cm. What is its area (in square cm)?
  29. 29.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
  30. 30.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.From a rectangle 16 cm long and 11 cm wide, a rectangle 12 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.Each side of a square is 2 cm. What is its perimeter (in cm)?
  34. 34.From a rectangle 11 cm long and 14 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.From a rectangle 20 cm long and 12 cm wide, a rectangle 18 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  37. 37.The perimeter of a rectangle is 38 cm and its length is 17 cm. What is its width (in cm)?
  38. 38.A square has a perimeter of 40 cm. What is its area (in square cm)?
  39. 39.The perimeter of a rectangle is 66 cm and its length is 29 cm. What is its width (in cm)?
  40. 40.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?

Answer key

  1. 7000
  2. 108
  3. 600
  4. 225
  5. 289
  6. 14
  7. 3960
  8. 58
  9. 36
  10. 72
  11. 65
  12. 1950
  13. 600
  14. 324
  15. 9
  16. 4
  17. 57
  18. 1800
  19. 25
  20. 315
  21. 44
  22. 1140
  23. 96
  24. 980
  25. 30
  26. 1800
  27. 9
  28. 196
  29. 3
  30. 1100
  31. 2470
  32. 152
  33. 8
  34. 152
  35. 150
  36. 36
  37. 2
  38. 100
  39. 4
  40. 85

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