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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 618 · 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 80 m long and 10 m wide. Fencing costs ₹16 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 21 cm. What is its width (in cm)?
  3. 3.From a rectangle 17 cm long and 5 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)?
  4. 4.A wall is 4 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  6. 6.A wall is 11 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  8. 8.Each side of a square is 23 cm. What is its perimeter (in cm)?
  9. 9.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  10. 10.A square has a perimeter of 28 cm. What is its area (in square cm)?
  11. 11.A wall is 4 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.Each side of a square is 14 cm. What is its perimeter (in cm)?
  13. 13.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A wall is 10 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  16. 16.Each side of a square is 11 cm. What is its perimeter (in cm)?
  17. 17.The perimeter of a rectangle is 52 cm and its length is 18 cm. What is its width (in cm)?
  18. 18.The perimeter of a rectangle is 48 cm and its length is 20 cm. What is its width (in cm)?
  19. 19.A wall is 11 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  21. 21.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.From a rectangle 13 cm long and 6 cm wide, a rectangle 2 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A wall is 5 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A wall is 4 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A square has a perimeter of 76 cm. What is its area (in square cm)?
  28. 28.A square has a perimeter of 24 cm. What is its area (in square cm)?
  29. 29.A rectangular field is 65 m long and 40 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.Each side of a square is 18 cm. What is its perimeter (in cm)?
  31. 31.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.From a rectangle 19 cm long and 6 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.A rectangular field is 35 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 94 cm and its length is 30 cm. What is its width (in cm)?
  35. 35.A square has a perimeter of 32 cm. What is its area (in square cm)?
  36. 36.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  37. 37.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  38. 38.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  39. 39.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?

Answer key

  1. 2880
  2. 12
  3. 64
  4. 120
  5. 168
  6. 1100
  7. 132
  8. 92
  9. 160
  10. 49
  11. 300
  12. 56
  13. 1800
  14. 400
  15. 96
  16. 44
  17. 8
  18. 4
  19. 660
  20. 51
  21. 3220
  22. 70
  23. 600
  24. 200
  25. 40
  26. 910
  27. 361
  28. 36
  29. 4200
  30. 72
  31. 7700
  32. 107
  33. 1760
  34. 17
  35. 64
  36. 20
  37. 2
  38. 192
  39. 3000
  40. 5

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