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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 695 · 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 4 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A wall is 5 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.From a rectangle 7 cm long and 6 cm wide, a rectangle 5 cm by 3 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 34 cm and its length is 13 cm. What is its width (in cm)?
  6. 6.A square has a perimeter of 72 cm. What is its area (in square cm)?
  7. 7.A rectangular field is 80 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.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 ₹)?
  10. 10.The perimeter of a rectangle is 76 cm and its length is 28 cm. What is its width (in cm)?
  11. 11.A rectangular field is 100 m long and 75 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.The perimeter of a rectangle is 74 cm and its length is 20 cm. What is its width (in cm)?
  13. 13.A wall is 9 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A wall is 12 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
  16. 16.A rectangular field is 45 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  18. 18.From a rectangle 18 cm long and 5 cm wide, a rectangle 7 cm by 1 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 52 cm. What is its area (in square cm)?
  20. 20.From a rectangle 7 cm long and 10 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A wall is 12 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  24. 24.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  25. 25.A wall is 12 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A square has a perimeter of 40 cm. What is its area (in square cm)?
  27. 27.A wall is 5 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.A wall is 5 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  30. 30.A wall is 6 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.From a rectangle 6 cm long and 12 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)?
  32. 32.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  33. 33.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  34. 34.A wall is 4 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A wall is 6 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.The perimeter of a rectangle is 80 cm and its length is 22 cm. What is its width (in cm)?
  37. 37.Each side of a square is 7 cm. What is its perimeter (in cm)?
  38. 38.A wall is 12 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A wall is 11 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 600
  2. 225
  3. 1500
  4. 27
  5. 4
  6. 324
  7. 4840
  8. 1120
  9. 320
  10. 10
  11. 6300
  12. 17
  13. 1080
  14. 840
  15. 90
  16. 3750
  17. 30
  18. 83
  19. 169
  20. 65
  21. 1440
  22. 770
  23. 2
  24. 84
  25. 720
  26. 100
  27. 300
  28. 675
  29. 69
  30. 960
  31. 52
  32. 108
  33. 48
  34. 120
  35. 450
  36. 18
  37. 28
  38. 360
  39. 1100
  40. 660

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