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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 682 · 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 rectangular field is 70 m long and 15 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
  3. 3.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 ₹)?
  4. 4.A square has a perimeter of 60 cm. What is its area (in square cm)?
  5. 5.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A wall is 12 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  8. 8.The perimeter of a rectangle is 42 cm and its length is 18 cm. What is its width (in cm)?
  9. 9.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  10. 10.A square has a perimeter of 40 cm. What is its area (in square cm)?
  11. 11.Each side of a square is 13 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A wall is 3 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.Each side of a square is 6 cm. What is its perimeter (in cm)?
  15. 15.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A rectangular field is 85 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  18. 18.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  20. 20.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  21. 21.The perimeter of a rectangle is 36 cm and its length is 15 cm. What is its width (in cm)?
  22. 22.From a rectangle 12 cm long and 15 cm wide, a rectangle 1 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A square has a perimeter of 80 cm. What is its area (in square cm)?
  24. 24.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  25. 25.A rectangular field is 85 m long and 25 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  27. 27.A square has a perimeter of 64 cm. What is its area (in square cm)?
  28. 28.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A square has a perimeter of 20 cm. What is its area (in square cm)?
  30. 30.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  31. 31.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A wall is 6 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  36. 36.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  37. 37.A rectangular field is 95 m long and 70 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.The perimeter of a rectangle is 78 cm and its length is 26 cm. What is its width (in cm)?
  39. 39.A wall is 7 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.From a rectangle 13 cm long and 11 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 1190
  2. 2
  3. 240
  4. 225
  5. 2400
  6. 960
  7. 24
  8. 3
  9. 72
  10. 100
  11. 52
  12. 3000
  13. 405
  14. 24
  15. 2210
  16. 3420
  17. 40
  18. 2700
  19. 152
  20. 128
  21. 3
  22. 171
  23. 400
  24. 78
  25. 4400
  26. 55
  27. 256
  28. 800
  29. 25
  30. 4
  31. 3240
  32. 2560
  33. 1170
  34. 1080
  35. 42
  36. 30
  37. 7590
  38. 13
  39. 840
  40. 137

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