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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 358 · 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.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  2. 2.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
  3. 3.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  4. 4.Each side of a square is 23 cm. What is its perimeter (in cm)?
  5. 5.A square has a perimeter of 8 cm. What is its area (in square cm)?
  6. 6.A rectangular field is 75 m long and 55 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.The perimeter of a rectangle is 44 cm and its length is 12 cm. What is its width (in cm)?
  8. 8.Each side of a square is 17 cm. What is its perimeter (in cm)?
  9. 9.The perimeter of a rectangle is 50 cm and its length is 23 cm. What is its width (in cm)?
  10. 10.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a rectangle is 40 cm and its length is 12 cm. What is its width (in cm)?
  12. 12.A square has a perimeter of 64 cm. What is its area (in square cm)?
  13. 13.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  14. 14.A rectangular field is 85 m long and 80 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A square has a perimeter of 32 cm. What is its area (in square cm)?
  16. 16.Each side of a square is 6 cm. What is its perimeter (in cm)?
  17. 17.A square has a perimeter of 68 cm. What is its area (in square cm)?
  18. 18.A wall is 10 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A wall is 8 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.From a rectangle 8 cm long and 14 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
  23. 23.A wall is 9 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  25. 25.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  28. 28.From a rectangle 18 cm long and 11 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
  31. 31.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.The perimeter of a rectangle is 76 cm and its length is 21 cm. What is its width (in cm)?
  33. 33.A square has a perimeter of 72 cm. What is its area (in square cm)?
  34. 34.From a rectangle 15 cm long and 7 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.The perimeter of a rectangle is 62 cm and its length is 24 cm. What is its width (in cm)?
  36. 36.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  37. 37.A wall is 3 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
  39. 39.From a rectangle 18 cm long and 11 cm wide, a rectangle 11 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.The perimeter of a rectangle is 56 cm and its length is 23 cm. What is its width (in cm)?

Answer key

  1. 4
  2. 3
  3. 60
  4. 92
  5. 4
  6. 6240
  7. 10
  8. 68
  9. 2
  10. 136
  11. 8
  12. 256
  13. 128
  14. 1980
  15. 64
  16. 24
  17. 289
  18. 400
  19. 1840
  20. 1600
  21. 87
  22. 105
  23. 810
  24. 3
  25. 10
  26. 3420
  27. 30
  28. 191
  29. 1920
  30. 3
  31. 2520
  32. 17
  33. 324
  34. 104
  35. 7
  36. 72
  37. 600
  38. 2
  39. 154
  40. 5

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