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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 189 · 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 wall is 7 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
  4. 4.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  5. 5.From a rectangle 13 cm long and 10 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)?
  6. 6.The perimeter of a rectangle is 84 cm and its length is 30 cm. What is its width (in cm)?
  7. 7.Each side of a square is 13 cm. What is its perimeter (in cm)?
  8. 8.The perimeter of a rectangle is 64 cm and its length is 26 cm. What is its width (in cm)?
  9. 9.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  10. 10.From a rectangle 20 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)?
  11. 11.The perimeter of a rectangle is 106 cm and its length is 29 cm. What is its width (in cm)?
  12. 12.From a rectangle 20 cm long and 8 cm wide, a rectangle 17 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.A wall is 11 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A square has a perimeter of 48 cm. What is its area (in square cm)?
  15. 15.A rectangular field is 100 m long and 80 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A square has a perimeter of 56 cm. What is its area (in square cm)?
  17. 17.From a rectangle 12 cm long and 6 cm wide, a rectangle 9 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.From a rectangle 12 cm long and 14 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A wall is 7 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.From a rectangle 9 cm long and 14 cm wide, a rectangle 3 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A square has a perimeter of 16 cm. What is its area (in square cm)?
  22. 22.Each side of a square is 18 cm. What is its perimeter (in cm)?
  23. 23.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A wall is 12 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.Each side of a square is 4 cm. What is its perimeter (in cm)?
  26. 26.A wall is 5 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  28. 28.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  30. 30.A square has a perimeter of 40 cm. What is its area (in square cm)?
  31. 31.A square has a perimeter of 76 cm. What is its area (in square cm)?
  32. 32.Each side of a square is 2 cm. What is its perimeter (in cm)?
  33. 33.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  34. 34.Each side of a square is 10 cm. What is its perimeter (in cm)?
  35. 35.The perimeter of a rectangle is 26 cm and its length is 10 cm. What is its width (in cm)?
  36. 36.A wall is 11 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A wall is 8 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A rectangular field is 85 m long and 80 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?

Answer key

  1. 350
  2. 1280
  3. 5
  4. 168
  5. 128
  6. 12
  7. 52
  8. 6
  9. 25
  10. 118
  11. 24
  12. 75
  13. 660
  14. 144
  15. 2880
  16. 196
  17. 54
  18. 162
  19. 1120
  20. 90
  21. 16
  22. 72
  23. 1610
  24. 540
  25. 16
  26. 350
  27. 10
  28. 1200
  29. 3
  30. 100
  31. 361
  32. 8
  33. 42
  34. 40
  35. 3
  36. 330
  37. 3060
  38. 320
  39. 3630
  40. 3

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