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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 540 · 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 35 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A wall is 5 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.The perimeter of a rectangle is 48 cm and its length is 15 cm. What is its width (in cm)?
  4. 4.Each side of a square is 13 cm. What is its perimeter (in cm)?
  5. 5.A square has a perimeter of 72 cm. What is its area (in square cm)?
  6. 6.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.The perimeter of a rectangle is 64 cm and its length is 26 cm. What is its width (in cm)?
  8. 8.From a rectangle 12 cm long and 10 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)?
  9. 9.Each side of a square is 24 cm. What is its perimeter (in cm)?
  10. 10.A square has a perimeter of 44 cm. What is its area (in square cm)?
  11. 11.A wall is 3 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A square has a perimeter of 40 cm. What is its area (in square cm)?
  14. 14.From a rectangle 16 cm long and 5 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)?
  15. 15.A square has a perimeter of 12 cm. What is its area (in square cm)?
  16. 16.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
  17. 17.From a rectangle 9 cm long and 6 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)?
  18. 18.A wall is 5 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  20. 20.From a rectangle 6 cm long and 8 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.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 ₹)?
  22. 22.From a rectangle 11 cm long and 13 cm wide, a rectangle 9 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A wall is 4 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A wall is 11 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.The perimeter of a rectangle is 56 cm and its length is 23 cm. What is its width (in cm)?
  26. 26.A rectangular field is 95 m long and 35 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.From a rectangle 11 cm long and 5 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.A wall is 11 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
  31. 31.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A square has a perimeter of 28 cm. What is its area (in square cm)?
  33. 33.From a rectangle 11 cm long and 5 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)?
  34. 34.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  35. 35.The perimeter of a rectangle is 70 cm and its length is 28 cm. What is its width (in cm)?
  36. 36.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  37. 37.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.From a rectangle 10 cm long and 9 cm wide, a rectangle 8 cm by 4 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 11 cm. What is its width (in cm)?
  40. 40.Each side of a square is 21 cm. What is its perimeter (in cm)?

Answer key

  1. 4000
  2. 250
  3. 9
  4. 52
  5. 324
  6. 2700
  7. 6
  8. 105
  9. 96
  10. 121
  11. 90
  12. 1560
  13. 100
  14. 69
  15. 9
  16. 136
  17. 33
  18. 450
  19. 72
  20. 24
  21. 1200
  22. 89
  23. 600
  24. 990
  25. 5
  26. 5460
  27. 1870
  28. 50
  29. 660
  30. 66
  31. 3780
  32. 49
  33. 52
  34. 56
  35. 7
  36. 144
  37. 2040
  38. 58
  39. 2
  40. 84

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