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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 536 · 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 9 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.The perimeter of a rectangle is 66 cm and its length is 25 cm. What is its width (in cm)?
  3. 3.The perimeter of a rectangle is 36 cm and its length is 14 cm. What is its width (in cm)?
  4. 4.From a rectangle 6 cm long and 12 cm wide, a rectangle 4 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A square has a perimeter of 68 cm. What is its area (in square cm)?
  6. 6.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A wall is 9 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.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 ₹)?
  10. 10.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.From a rectangle 8 cm long and 15 cm wide, a rectangle 3 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  15. 15.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  16. 16.A wall is 9 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  18. 18.The perimeter of a rectangle is 62 cm and its length is 29 cm. What is its width (in cm)?
  19. 19.The perimeter of a rectangle is 46 cm and its length is 12 cm. What is its width (in cm)?
  20. 20.The perimeter of a rectangle is 68 cm and its length is 26 cm. What is its width (in cm)?
  21. 21.A wall is 4 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A wall is 12 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A wall is 7 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  25. 25.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  26. 26.A wall is 3 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.From a rectangle 20 cm long and 6 cm wide, a rectangle 12 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.The perimeter of a rectangle is 44 cm and its length is 19 cm. What is its width (in cm)?
  30. 30.A wall is 10 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  32. 32.A wall is 5 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A rectangular field is 80 m long and 60 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A wall is 9 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.From a rectangle 8 cm long and 7 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.Each side of a square is 9 cm. What is its perimeter (in cm)?
  37. 37.From a rectangle 18 cm long and 6 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
  39. 39.A wall is 4 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 450
  2. 8
  3. 4
  4. 32
  5. 289
  6. 1100
  7. 630
  8. 270
  9. 990
  10. 3570
  11. 84
  12. 3570
  13. 1200
  14. 138
  15. 128
  16. 945
  17. 84
  18. 2
  19. 11
  20. 8
  21. 420
  22. 720
  23. 420
  24. 16
  25. 69
  26. 240
  27. 84
  28. 2280
  29. 3
  30. 500
  31. 42
  32. 400
  33. 5320
  34. 675
  35. 54
  36. 36
  37. 100
  38. 6
  39. 480
  40. 2000

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