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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 336 · 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.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  2. 2.The perimeter of a rectangle is 68 cm and its length is 30 cm. What is its width (in cm)?
  3. 3.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
  4. 4.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.From a rectangle 6 cm long and 9 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.A wall is 4 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.The perimeter of a rectangle is 34 cm and its length is 12 cm. What is its width (in cm)?
  8. 8.The perimeter of a rectangle is 78 cm and its length is 20 cm. What is its width (in cm)?
  9. 9.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  10. 10.A wall is 3 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A wall is 8 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.The perimeter of a rectangle is 38 cm and its length is 14 cm. What is its width (in cm)?
  14. 14.From a rectangle 15 cm long and 12 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  15. 15.From a rectangle 8 cm long and 10 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.A square has a perimeter of 48 cm. What is its area (in square cm)?
  17. 17.From a rectangle 12 cm long and 7 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)?
  18. 18.Each side of a square is 24 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 16 cm long and 8 cm wide, a rectangle 4 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A rectangular field is 95 m long and 70 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.The perimeter of a rectangle is 56 cm and its length is 17 cm. What is its width (in cm)?
  23. 23.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  24. 24.The perimeter of a rectangle is 68 cm and its length is 21 cm. What is its width (in cm)?
  25. 25.The perimeter of a rectangle is 54 cm and its length is 22 cm. What is its width (in cm)?
  26. 26.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  27. 27.From a rectangle 19 cm long and 9 cm wide, a rectangle 17 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A rectangular field is 90 m long and 80 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  30. 30.A wall is 4 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  33. 33.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  34. 34.A square has a perimeter of 24 cm. What is its area (in square cm)?
  35. 35.Each side of a regular octagon is 25 cm. What is its perimeter (in cm)?
  36. 36.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  37. 37.A square has a perimeter of 32 cm. What is its area (in square cm)?
  38. 38.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  39. 39.Each side of a regular pentagon is 22 cm. What is its perimeter (in cm)?
  40. 40.A wall is 5 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 51
  2. 4
  3. 2
  4. 3000
  5. 47
  6. 240
  7. 5
  8. 19
  9. 18
  10. 600
  11. 600
  12. 240
  13. 5
  14. 153
  15. 62
  16. 144
  17. 78
  18. 96
  19. 108
  20. 1210
  21. 3630
  22. 11
  23. 48
  24. 13
  25. 5
  26. 15
  27. 69
  28. 4420
  29. 36
  30. 1080
  31. 2880
  32. 30
  33. 120
  34. 36
  35. 200
  36. 2
  37. 64
  38. 21
  39. 110
  40. 100

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