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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 602 · 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 6 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.From a rectangle 17 cm long and 9 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)?
  3. 3.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A square has a perimeter of 28 cm. What is its area (in square cm)?
  5. 5.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
  6. 6.A rectangular field is 95 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.The perimeter of a rectangle is 54 cm and its length is 24 cm. What is its width (in cm)?
  10. 10.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
  11. 11.A wall is 12 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.From a rectangle 9 cm long and 14 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)?
  13. 13.A square has a perimeter of 20 cm. What is its area (in square cm)?
  14. 14.From a rectangle 13 cm long and 15 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.The perimeter of a rectangle is 34 cm and its length is 14 cm. What is its width (in cm)?
  16. 16.A square has a perimeter of 12 cm. What is its area (in square cm)?
  17. 17.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  18. 18.A wall is 3 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A square has a perimeter of 8 cm. What is its area (in square cm)?
  20. 20.A square has a perimeter of 32 cm. What is its area (in square cm)?
  21. 21.The perimeter of a rectangle is 72 cm and its length is 20 cm. What is its width (in cm)?
  22. 22.A wall is 3 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A square has a perimeter of 68 cm. What is its area (in square cm)?
  25. 25.The perimeter of a rectangle is 46 cm and its length is 13 cm. What is its width (in cm)?
  26. 26.A wall is 11 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  28. 28.The perimeter of a rectangle is 82 cm and its length is 26 cm. What is its width (in cm)?
  29. 29.From a rectangle 15 cm long and 6 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.A wall is 4 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.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 ₹)?
  32. 32.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 ₹)?
  33. 33.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
  34. 34.The perimeter of a rectangle is 54 cm and its length is 21 cm. What is its width (in cm)?
  35. 35.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A wall is 10 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A wall is 6 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.A rectangular field is 95 m long and 25 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
  40. 40.A wall is 3 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 1260
  2. 149
  3. 5600
  4. 49
  5. 5
  6. 5500
  7. 30
  8. 3150
  9. 3
  10. 6
  11. 2160
  12. 118
  13. 25
  14. 183
  15. 3
  16. 9
  17. 108
  18. 450
  19. 4
  20. 64
  21. 16
  22. 60
  23. 720
  24. 289
  25. 10
  26. 1980
  27. 42
  28. 15
  29. 72
  30. 200
  31. 3000
  32. 675
  33. 15
  34. 6
  35. 1100
  36. 2000
  37. 450
  38. 1680
  39. 3
  40. 240

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