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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 374 · 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.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.The perimeter of a rectangle is 92 cm and its length is 28 cm. What is its width (in cm)?
  4. 4.The perimeter of a rectangle is 48 cm and its length is 14 cm. What is its width (in cm)?
  5. 5.A wall is 9 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A square has a perimeter of 12 cm. What is its area (in square cm)?
  7. 7.From a rectangle 12 cm long and 13 cm wide, a rectangle 6 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.A rectangular field is 45 m long and 35 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
  10. 10.A square has a perimeter of 60 cm. What is its area (in square cm)?
  11. 11.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  12. 12.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  13. 13.A wall is 11 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  16. 16.A wall is 12 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.From a rectangle 14 cm long and 14 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.From a rectangle 9 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)?
  19. 19.A rectangular field is 85 m long and 75 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.Each side of a square is 2 cm. What is its perimeter (in cm)?
  21. 21.From a rectangle 19 cm long and 12 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.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 ₹)?
  23. 23.A rectangular field is 50 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.The perimeter of a rectangle is 46 cm and its length is 20 cm. What is its width (in cm)?
  25. 25.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  27. 27.A square has a perimeter of 16 cm. What is its area (in square cm)?
  28. 28.From a rectangle 17 cm long and 12 cm wide, a rectangle 8 cm by 3 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 44 cm and its length is 17 cm. What is its width (in cm)?
  30. 30.The perimeter of a rectangle is 58 cm and its length is 15 cm. What is its width (in cm)?
  31. 31.A square has a perimeter of 28 cm. What is its area (in square cm)?
  32. 32.A wall is 9 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.The perimeter of a rectangle is 50 cm and its length is 23 cm. What is its width (in cm)?
  34. 34.A square has a perimeter of 24 cm. What is its area (in square cm)?
  35. 35.A rectangular field is 70 m long and 65 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
  37. 37.A wall is 6 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.From a rectangle 11 cm long and 10 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  40. 40.A square has a perimeter of 44 cm. What is its area (in square cm)?

Answer key

  1. 10
  2. 6160
  3. 18
  4. 10
  5. 270
  6. 9
  7. 114
  8. 4000
  9. 112
  10. 225
  11. 48
  12. 3
  13. 1760
  14. 2160
  15. 160
  16. 1080
  17. 195
  18. 68
  19. 3840
  20. 8
  21. 219
  22. 1200
  23. 2660
  24. 3
  25. 2000
  26. 2
  27. 16
  28. 180
  29. 5
  30. 14
  31. 49
  32. 540
  33. 2
  34. 36
  35. 5400
  36. 136
  37. 120
  38. 102
  39. 54
  40. 121

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