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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 275 · 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.From a rectangle 20 cm long and 7 cm wide, a rectangle 18 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.From a rectangle 11 cm long and 12 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)?
  3. 3.From a rectangle 6 cm long and 13 cm wide, a rectangle 1 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.From a rectangle 15 cm long and 6 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  6. 6.The perimeter of a rectangle is 112 cm and its length is 29 cm. What is its width (in cm)?
  7. 7.A square has a perimeter of 12 cm. What is its area (in square cm)?
  8. 8.A rectangular field is 85 m long and 70 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.Each side of a square is 20 cm. What is its perimeter (in cm)?
  10. 10.The perimeter of a rectangle is 50 cm and its length is 14 cm. What is its width (in cm)?
  11. 11.A wall is 5 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A wall is 11 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  14. 14.The perimeter of a rectangle is 42 cm and its length is 13 cm. What is its width (in cm)?
  15. 15.A rectangular field is 90 m long and 75 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  17. 17.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  18. 18.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 10 cm long and 13 cm wide, a rectangle 2 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.The perimeter of a rectangle is 56 cm and its length is 23 cm. What is its width (in cm)?
  21. 21.The perimeter of a rectangle is 72 cm and its length is 25 cm. What is its width (in cm)?
  22. 22.The perimeter of a rectangle is 84 cm and its length is 24 cm. What is its width (in cm)?
  23. 23.A wall is 9 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A square has a perimeter of 36 cm. What is its area (in square cm)?
  25. 25.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  26. 26.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 75 m long and 50 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A square has a perimeter of 20 cm. What is its area (in square cm)?
  30. 30.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 ₹)?
  31. 31.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  32. 32.The perimeter of a rectangle is 34 cm and its length is 11 cm. What is its width (in cm)?
  33. 33.From a rectangle 7 cm long and 6 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  35. 35.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  36. 36.Each side of a square is 21 cm. What is its perimeter (in cm)?
  37. 37.A square has a perimeter of 64 cm. What is its area (in square cm)?
  38. 38.From a rectangle 18 cm long and 6 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.A square has a perimeter of 56 cm. What is its area (in square cm)?
  40. 40.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?

Answer key

  1. 122
  2. 90
  3. 68
  4. 70
  5. 4
  6. 27
  7. 9
  8. 7440
  9. 80
  10. 11
  11. 450
  12. 1485
  13. 78
  14. 8
  15. 5280
  16. 2
  17. 6
  18. 35
  19. 108
  20. 5
  21. 11
  22. 18
  23. 1800
  24. 81
  25. 24
  26. 72
  27. 2000
  28. 1960
  29. 25
  30. 600
  31. 96
  32. 6
  33. 22
  34. 42
  35. 10
  36. 84
  37. 256
  38. 81
  39. 196
  40. 30

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