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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 175 · 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.

NameDateTime takenScore ___ / 40
  1. 1.A wall is 3 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A rectangular field is 100 m long and 20 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.The perimeter of a rectangle is 74 cm and its length is 19 cm. What is its width (in cm)?
  4. 4.A rectangular field is 75 m long and 45 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  7. 7.A square has a perimeter of 68 cm. What is its area (in square cm)?
  8. 8.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  9. 9.A square has a perimeter of 32 cm. What is its area (in square cm)?
  10. 10.A wall is 3 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.The perimeter of a rectangle is 96 cm and its length is 26 cm. What is its width (in cm)?
  12. 12.A rectangular field is 90 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A wall is 6 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
  16. 16.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
  17. 17.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A wall is 5 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  20. 20.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  22. 22.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  23. 23.A rectangular field is 90 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A wall is 8 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.The perimeter of a rectangle is 52 cm and its length is 16 cm. What is its width (in cm)?
  27. 27.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  28. 28.From a rectangle 8 cm long and 8 cm wide, a rectangle 3 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 30 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.Each side of a square is 20 cm. What is its perimeter (in cm)?
  31. 31.A wall is 9 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
  33. 33.From a rectangle 7 cm long and 14 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A square has a perimeter of 40 cm. What is its area (in square cm)?
  35. 35.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 ₹)?
  36. 36.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  37. 37.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A rectangular field is 50 m long and 40 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A wall is 10 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 270
  2. 5280
  3. 18
  4. 1680
  5. 2300
  6. 128
  7. 289
  8. 192
  9. 64
  10. 300
  11. 22
  12. 1260
  13. 360
  14. 660
  15. 7
  16. 3
  17. 1200
  18. 500
  19. 120
  20. 1610
  21. 4
  22. 16
  23. 2730
  24. 2300
  25. 480
  26. 10
  27. 45
  28. 55
  29. 1680
  30. 80
  31. 2430
  32. 2
  33. 89
  34. 100
  35. 270
  36. 132
  37. 1170
  38. 1800
  39. 2340
  40. 900

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