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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 481 · 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 3 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  3. 3.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
  4. 4.A rectangular field is 90 m long and 50 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.The perimeter of a rectangle is 30 cm and its length is 11 cm. What is its width (in cm)?
  6. 6.A square has a perimeter of 40 cm. What is its area (in square cm)?
  7. 7.A wall is 5 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A wall is 10 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  11. 11.A square has a perimeter of 20 cm. What is its area (in square cm)?
  12. 12.A square has a perimeter of 48 cm. What is its area (in square cm)?
  13. 13.From a rectangle 17 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)?
  14. 14.From a rectangle 10 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)?
  15. 15.A wall is 11 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A wall is 8 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A wall is 4 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A wall is 4 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.The perimeter of a rectangle is 32 cm and its length is 10 cm. What is its width (in cm)?
  20. 20.A square has a perimeter of 56 cm. What is its area (in square cm)?
  21. 21.A square has a perimeter of 64 cm. What is its area (in square cm)?
  22. 22.A square has a perimeter of 76 cm. What is its area (in square cm)?
  23. 23.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.A wall is 12 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A square has a perimeter of 60 cm. What is its area (in square cm)?
  27. 27.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.From a rectangle 13 cm long and 15 cm wide, a rectangle 8 cm by 13 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.The perimeter of a rectangle is 30 cm and its length is 10 cm. What is its width (in cm)?
  30. 30.A square has a perimeter of 36 cm. What is its area (in square cm)?
  31. 31.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 95 m long and 40 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  34. 34.A square has a perimeter of 12 cm. What is its area (in square cm)?
  35. 35.The perimeter of a rectangle is 50 cm and its length is 17 cm. What is its width (in cm)?
  36. 36.Each side of a square is 5 cm. What is its perimeter (in cm)?
  37. 37.Each side of a square is 20 cm. What is its perimeter (in cm)?
  38. 38.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  39. 39.A rectangular field is 45 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?

Answer key

  1. 675
  2. 192
  3. 2
  4. 4760
  5. 4
  6. 100
  7. 1125
  8. 700
  9. 840
  10. 72
  11. 25
  12. 144
  13. 74
  14. 29
  15. 1980
  16. 360
  17. 960
  18. 300
  19. 6
  20. 196
  21. 256
  22. 361
  23. 490
  24. 480
  25. 1870
  26. 225
  27. 3230
  28. 91
  29. 5
  30. 81
  31. 42
  32. 6210
  33. 63
  34. 9
  35. 8
  36. 20
  37. 80
  38. 4
  39. 2080
  40. 9

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