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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 631 · 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 5 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.The perimeter of a rectangle is 80 cm and its length is 24 cm. What is its width (in cm)?
  3. 3.A wall is 8 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A rectangular field is 75 m long and 30 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.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 ₹)?
  6. 6.A wall is 9 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  10. 10.A square has a perimeter of 20 cm. What is its area (in square cm)?
  11. 11.From a rectangle 12 cm long and 15 cm wide, a rectangle 9 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.The perimeter of a rectangle is 54 cm and its length is 20 cm. What is its width (in cm)?
  13. 13.Each side of a square is 3 cm. What is its perimeter (in cm)?
  14. 14.A square has a perimeter of 80 cm. What is its area (in square cm)?
  15. 15.A square has a perimeter of 12 cm. What is its area (in square cm)?
  16. 16.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
  18. 18.The perimeter of a rectangle is 44 cm and its length is 12 cm. What is its width (in cm)?
  19. 19.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A wall is 12 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A square has a perimeter of 56 cm. What is its area (in square cm)?
  23. 23.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  24. 24.A rectangular field is 75 m long and 30 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  26. 26.A square has a perimeter of 24 cm. What is its area (in square cm)?
  27. 27.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.From a rectangle 18 cm long and 8 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)?
  29. 29.A rectangular field is 70 m long and 60 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A wall is 6 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.From a rectangle 8 cm long and 14 cm wide, a rectangle 6 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A wall is 11 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.The perimeter of a rectangle is 90 cm and its length is 27 cm. What is its width (in cm)?
  36. 36.A wall is 12 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.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 ₹)?
  38. 38.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  39. 39.Each side of a square is 2 cm. What is its perimeter (in cm)?
  40. 40.A wall is 10 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 900
  2. 16
  3. 240
  4. 3990
  5. 300
  6. 1080
  7. 40
  8. 3000
  9. 12
  10. 25
  11. 135
  12. 7
  13. 12
  14. 400
  15. 9
  16. 1260
  17. 4
  18. 10
  19. 990
  20. 600
  21. 1330
  22. 196
  23. 2
  24. 1680
  25. 18
  26. 36
  27. 350
  28. 117
  29. 3640
  30. 480
  31. 5510
  32. 1360
  33. 58
  34. 440
  35. 18
  36. 1260
  37. 600
  38. 168
  39. 8
  40. 900

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