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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 115 · 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 65 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.The perimeter of a rectangle is 66 cm and its length is 17 cm. What is its width (in cm)?
  3. 3.The perimeter of a rectangle is 68 cm and its length is 23 cm. What is its width (in cm)?
  4. 4.A square has a perimeter of 20 cm. What is its area (in square cm)?
  5. 5.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
  7. 7.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  8. 8.A square has a perimeter of 32 cm. What is its area (in square cm)?
  9. 9.A wall is 10 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A rectangular field is 100 m long and 40 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
  12. 12.A square has a perimeter of 24 cm. What is its area (in square cm)?
  13. 13.A square has a perimeter of 80 cm. What is its area (in square cm)?
  14. 14.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A wall is 5 m long and 6 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 8 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.From a rectangle 11 cm long and 9 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  19. 19.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  20. 20.The perimeter of a rectangle is 66 cm and its length is 27 cm. What is its width (in cm)?
  21. 21.The perimeter of a rectangle is 76 cm and its length is 29 cm. What is its width (in cm)?
  22. 22.A square has a perimeter of 60 cm. What is its area (in square cm)?
  23. 23.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  24. 24.Each side of a square is 23 cm. What is its perimeter (in cm)?
  25. 25.From a rectangle 8 cm long and 8 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.The perimeter of a rectangle is 34 cm and its length is 9 cm. What is its width (in cm)?
  27. 27.From a rectangle 16 cm long and 9 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  28. 28.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  30. 30.From a rectangle 18 cm long and 7 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.From a rectangle 6 cm long and 15 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.From a rectangle 14 cm long and 12 cm wide, a rectangle 11 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.The perimeter of a rectangle is 46 cm and its length is 20 cm. What is its width (in cm)?
  34. 34.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.From a rectangle 11 cm long and 8 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  38. 38.From a rectangle 6 cm long and 10 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.A square has a perimeter of 48 cm. What is its area (in square cm)?
  40. 40.A square has a perimeter of 8 cm. What is its area (in square cm)?

Answer key

  1. 4180
  2. 16
  3. 11
  4. 25
  5. 1860
  6. 4
  7. 36
  8. 64
  9. 600
  10. 2800
  11. 3
  12. 36
  13. 400
  14. 5040
  15. 1200
  16. 38
  17. 95
  18. 72
  19. 54
  20. 6
  21. 9
  22. 225
  23. 72
  24. 92
  25. 61
  26. 8
  27. 129
  28. 540
  29. 48
  30. 106
  31. 89
  32. 113
  33. 3
  34. 2730
  35. 67
  36. 800
  37. 30
  38. 57
  39. 144
  40. 4

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