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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 454 · 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 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.The perimeter of a rectangle is 40 cm and its length is 18 cm. What is its width (in cm)?
  4. 4.A wall is 6 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.Each side of a square is 13 cm. What is its perimeter (in cm)?
  6. 6.The perimeter of a rectangle is 94 cm and its length is 26 cm. What is its width (in cm)?
  7. 7.A square has a perimeter of 60 cm. What is its area (in square cm)?
  8. 8.The perimeter of a rectangle is 36 cm and its length is 10 cm. What is its width (in cm)?
  9. 9.A wall is 10 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a rectangle is 76 cm and its length is 21 cm. What is its width (in cm)?
  12. 12.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  13. 13.The perimeter of a rectangle is 46 cm and its length is 17 cm. What is its width (in cm)?
  14. 14.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.From a rectangle 14 cm long and 11 cm wide, a rectangle 9 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  17. 17.From a rectangle 6 cm long and 8 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.From a rectangle 18 cm long and 8 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  20. 20.The perimeter of a rectangle is 42 cm and its length is 18 cm. What is its width (in cm)?
  21. 21.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  22. 22.Each side of a square is 25 cm. What is its perimeter (in cm)?
  23. 23.From a rectangle 18 cm long and 6 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.From a rectangle 6 cm long and 15 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  27. 27.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  28. 28.A square has a perimeter of 40 cm. What is its area (in square cm)?
  29. 29.Each side of a square is 20 cm. What is its perimeter (in cm)?
  30. 30.A wall is 9 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.The perimeter of a rectangle is 50 cm and its length is 22 cm. What is its width (in cm)?
  32. 32.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.From a rectangle 12 cm long and 10 cm wide, a rectangle 5 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.From a rectangle 16 cm long and 11 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)?
  35. 35.Each side of a square is 12 cm. What is its perimeter (in cm)?
  36. 36.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  38. 38.From a rectangle 15 cm long and 5 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
  40. 40.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 3200
  2. 1430
  3. 2
  4. 720
  5. 52
  6. 21
  7. 225
  8. 8
  9. 1500
  10. 64
  11. 17
  12. 160
  13. 6
  14. 1120
  15. 82
  16. 176
  17. 44
  18. 142
  19. 144
  20. 3
  21. 21
  22. 100
  23. 106
  24. 3960
  25. 88
  26. 30
  27. 69
  28. 100
  29. 80
  30. 720
  31. 3
  32. 3520
  33. 80
  34. 155
  35. 48
  36. 1700
  37. 39
  38. 72
  39. 5
  40. 1260

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