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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 584 · 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 7 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A wall is 12 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.From a rectangle 6 cm long and 7 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.Each side of an equilateral triangle is 11 cm. What is its perimeter (in cm)?
  5. 5.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
  6. 6.The perimeter of a rectangle is 64 cm and its length is 26 cm. What is its width (in cm)?
  7. 7.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
  10. 10.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a rectangle is 46 cm and its length is 12 cm. What is its width (in cm)?
  12. 12.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  13. 13.A square has a perimeter of 76 cm. What is its area (in square cm)?
  14. 14.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A wall is 3 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.From a rectangle 10 cm long and 15 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A wall is 3 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  20. 20.From a rectangle 11 cm long and 14 cm wide, a rectangle 7 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.The perimeter of a rectangle is 52 cm and its length is 17 cm. What is its width (in cm)?
  22. 22.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A square has a perimeter of 20 cm. What is its area (in square cm)?
  25. 25.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.From a rectangle 8 cm long and 14 cm wide, a rectangle 1 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  29. 29.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  30. 30.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  31. 31.From a rectangle 14 cm long and 6 cm wide, a rectangle 11 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
  35. 35.From a rectangle 16 cm long and 6 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A rectangular field is 100 m long and 25 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  39. 39.A square has a perimeter of 32 cm. What is its area (in square cm)?
  40. 40.A rectangular field is 80 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 1050
  2. 960
  3. 38
  4. 33
  5. 66
  6. 6
  7. 1500
  8. 4320
  9. 70
  10. 25
  11. 11
  12. 24
  13. 361
  14. 1820
  15. 600
  16. 138
  17. 150
  18. 700
  19. 55
  20. 105
  21. 9
  22. 900
  23. 3780
  24. 25
  25. 78
  26. 800
  27. 102
  28. 42
  29. 12
  30. 96
  31. 73
  32. 1800
  33. 1600
  34. 7
  35. 68
  36. 3000
  37. 2310
  38. 51
  39. 64
  40. 3610

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