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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 214 · 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.

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  1. 1.A wall is 12 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A rectangular field is 90 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A wall is 8 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A rectangular field is 95 m long and 85 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A wall is 6 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.From a rectangle 17 cm long and 7 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)?
  8. 8.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A wall is 3 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A wall is 6 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 75 m long and 55 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.The perimeter of a rectangle is 54 cm and its length is 18 cm. What is its width (in cm)?
  14. 14.A square has a perimeter of 44 cm. What is its area (in square cm)?
  15. 15.A wall is 5 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  17. 17.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A square has a perimeter of 24 cm. What is its area (in square cm)?
  19. 19.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.Each side of a square is 11 cm. What is its perimeter (in cm)?
  21. 21.A square has a perimeter of 80 cm. What is its area (in square cm)?
  22. 22.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  23. 23.A wall is 12 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.The perimeter of a rectangle is 78 cm and its length is 28 cm. What is its width (in cm)?
  25. 25.The perimeter of a rectangle is 74 cm and its length is 20 cm. What is its width (in cm)?
  26. 26.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  27. 27.A wall is 9 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.The perimeter of a rectangle is 72 cm and its length is 19 cm. What is its width (in cm)?
  29. 29.The perimeter of a rectangle is 42 cm and its length is 13 cm. What is its width (in cm)?
  30. 30.From a rectangle 10 cm long and 7 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.A wall is 3 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A square has a perimeter of 48 cm. What is its area (in square cm)?
  33. 33.A square has a perimeter of 56 cm. What is its area (in square cm)?
  34. 34.A wall is 5 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  36. 36.The perimeter of a rectangle is 86 cm and its length is 24 cm. What is its width (in cm)?
  37. 37.A rectangular field is 65 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.From a rectangle 8 cm long and 7 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.Each side of a square is 18 cm. What is its perimeter (in cm)?
  40. 40.A wall is 9 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 3240
  2. 2000
  3. 6000
  4. 1280
  5. 7200
  6. 720
  7. 99
  8. 1360
  9. 450
  10. 750
  11. 9
  12. 2600
  13. 9
  14. 121
  15. 900
  16. 3
  17. 5980
  18. 36
  19. 1600
  20. 44
  21. 400
  22. 32
  23. 2160
  24. 11
  25. 17
  26. 16
  27. 180
  28. 17
  29. 8
  30. 66
  31. 600
  32. 144
  33. 196
  34. 800
  35. 42
  36. 19
  37. 960
  38. 26
  39. 72
  40. 540

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