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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 586 · 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.Each side of a square is 18 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.From a rectangle 10 cm long and 12 cm wide, a rectangle 8 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
  6. 6.The perimeter of a rectangle is 48 cm and its length is 17 cm. What is its width (in cm)?
  7. 7.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  8. 8.A square has a perimeter of 8 cm. What is its area (in square cm)?
  9. 9.The perimeter of a rectangle is 60 cm and its length is 22 cm. What is its width (in cm)?
  10. 10.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  11. 11.From a rectangle 19 cm long and 8 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
  13. 13.A wall is 4 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A square has a perimeter of 24 cm. What is its area (in square cm)?
  15. 15.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  16. 16.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  17. 17.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.From a rectangle 11 cm long and 15 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A square has a perimeter of 36 cm. What is its area (in square cm)?
  20. 20.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
  21. 21.A square has a perimeter of 60 cm. What is its area (in square cm)?
  22. 22.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  23. 23.From a rectangle 14 cm long and 12 cm wide, a rectangle 9 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.From a rectangle 10 cm long and 15 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.A square has a perimeter of 28 cm. What is its area (in square cm)?
  26. 26.A wall is 9 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  28. 28.From a rectangle 11 cm long and 13 cm wide, a rectangle 9 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.The perimeter of a rectangle is 30 cm and its length is 10 cm. What is its width (in cm)?
  30. 30.From a rectangle 7 cm long and 10 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.From a rectangle 11 cm long and 11 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  33. 33.From a rectangle 13 cm long and 10 cm wide, a rectangle 8 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.The perimeter of a rectangle is 34 cm and its length is 11 cm. What is its width (in cm)?
  35. 35.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  36. 36.From a rectangle 15 cm long and 6 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.From a rectangle 15 cm long and 13 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.The perimeter of a rectangle is 74 cm and its length is 19 cm. What is its width (in cm)?
  39. 39.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.The perimeter of a rectangle is 32 cm and its length is 11 cm. What is its width (in cm)?

Answer key

  1. 72
  2. 800
  3. 1920
  4. 72
  5. 136
  6. 7
  7. 36
  8. 4
  9. 8
  10. 42
  11. 146
  12. 115
  13. 320
  14. 36
  15. 3
  16. 72
  17. 1170
  18. 150
  19. 81
  20. 7
  21. 225
  22. 12
  23. 96
  24. 108
  25. 49
  26. 2250
  27. 138
  28. 134
  29. 5
  30. 67
  31. 113
  32. 25
  33. 90
  34. 6
  35. 168
  36. 82
  37. 183
  38. 18
  39. 990
  40. 5

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