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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 270 · 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 square has a perimeter of 36 cm. What is its area (in square cm)?
  2. 2.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  3. 3.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  4. 4.The perimeter of a rectangle is 116 cm and its length is 30 cm. What is its width (in cm)?
  5. 5.A square has a perimeter of 24 cm. What is its area (in square cm)?
  6. 6.A square has a perimeter of 16 cm. What is its area (in square cm)?
  7. 7.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A square has a perimeter of 60 cm. What is its area (in square cm)?
  9. 9.A square has a perimeter of 32 cm. What is its area (in square cm)?
  10. 10.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  12. 12.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  13. 13.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  14. 14.A rectangular field is 70 m long and 55 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.Each side of a square is 23 cm. What is its perimeter (in cm)?
  16. 16.The perimeter of a rectangle is 44 cm and its length is 20 cm. What is its width (in cm)?
  17. 17.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
  18. 18.Each side of a square is 7 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 10 cm long and 6 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A square has a perimeter of 12 cm. What is its area (in square cm)?
  21. 21.The perimeter of a rectangle is 66 cm and its length is 26 cm. What is its width (in cm)?
  22. 22.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  23. 23.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  24. 24.The perimeter of a rectangle is 34 cm and its length is 14 cm. What is its width (in cm)?
  25. 25.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.The perimeter of a rectangle is 112 cm and its length is 30 cm. What is its width (in cm)?
  28. 28.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.From a rectangle 17 cm long and 13 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.A square has a perimeter of 64 cm. What is its area (in square cm)?
  31. 31.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  32. 32.Each side of a square is 19 cm. What is its perimeter (in cm)?
  33. 33.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  34. 34.From a rectangle 6 cm long and 11 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.From a rectangle 14 cm long and 13 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A square has a perimeter of 20 cm. What is its area (in square cm)?
  37. 37.The perimeter of a rectangle is 34 cm and its length is 11 cm. What is its width (in cm)?
  38. 38.Each side of a regular hexagon is 4 cm. What is its perimeter (in cm)?
  39. 39.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  40. 40.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?

Answer key

  1. 81
  2. 60
  3. 64
  4. 28
  5. 36
  6. 16
  7. 3230
  8. 225
  9. 64
  10. 4000
  11. 50
  12. 132
  13. 30
  14. 2750
  15. 92
  16. 2
  17. 3
  18. 28
  19. 44
  20. 9
  21. 7
  22. 152
  23. 16
  24. 3
  25. 60
  26. 3600
  27. 26
  28. 5250
  29. 191
  30. 256
  31. 32
  32. 76
  33. 128
  34. 58
  35. 166
  36. 25
  37. 6
  38. 24
  39. 45
  40. 25

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