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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 232 · 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 55 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.From a rectangle 10 cm long and 7 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.A wall is 5 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A wall is 5 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  6. 6.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  7. 7.The perimeter of a rectangle is 48 cm and its length is 21 cm. What is its width (in cm)?
  8. 8.From a rectangle 11 cm long and 13 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)?
  9. 9.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
  10. 10.The perimeter of a rectangle is 46 cm and its length is 12 cm. What is its width (in cm)?
  11. 11.Each side of a square is 17 cm. What is its perimeter (in cm)?
  12. 12.The perimeter of a rectangle is 32 cm and its length is 12 cm. What is its width (in cm)?
  13. 13.From a rectangle 8 cm long and 6 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A wall is 12 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A square has a perimeter of 44 cm. What is its area (in square cm)?
  16. 16.Each side of a square is 12 cm. What is its perimeter (in cm)?
  17. 17.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.From a rectangle 7 cm long and 10 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.From a rectangle 18 cm long and 13 cm wide, a rectangle 16 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  21. 21.A wall is 10 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.The perimeter of a rectangle is 40 cm and its length is 18 cm. What is its width (in cm)?
  23. 23.A rectangular field is 55 m long and 40 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.The perimeter of a rectangle is 66 cm and its length is 17 cm. What is its width (in cm)?
  25. 25.From a rectangle 20 cm long and 9 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)?
  26. 26.A square has a perimeter of 16 cm. What is its area (in square cm)?
  27. 27.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  28. 28.A wall is 12 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A square has a perimeter of 32 cm. What is its area (in square cm)?
  30. 30.From a rectangle 6 cm long and 15 cm wide, a rectangle 2 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.Each side of a square is 22 cm. What is its perimeter (in cm)?
  34. 34.From a rectangle 9 cm long and 14 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.The perimeter of a rectangle is 112 cm and its length is 29 cm. What is its width (in cm)?
  37. 37.The perimeter of a rectangle is 44 cm and its length is 20 cm. What is its width (in cm)?
  38. 38.The perimeter of a rectangle is 60 cm and its length is 22 cm. What is its width (in cm)?
  39. 39.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.The perimeter of a rectangle is 28 cm and its length is 11 cm. What is its width (in cm)?

Answer key

  1. 1800
  2. 67
  3. 350
  4. 1125
  5. 6
  6. 200
  7. 3
  8. 123
  9. 4
  10. 11
  11. 68
  12. 4
  13. 42
  14. 480
  15. 121
  16. 48
  17. 3240
  18. 63
  19. 58
  20. 120
  21. 800
  22. 2
  23. 4180
  24. 16
  25. 172
  26. 16
  27. 33
  28. 3000
  29. 64
  30. 70
  31. 1760
  32. 1050
  33. 88
  34. 105
  35. 2560
  36. 27
  37. 2
  38. 8
  39. 1520
  40. 3

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