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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 110 · 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 8 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A square has a perimeter of 28 cm. What is its area (in square cm)?
  3. 3.A square has a perimeter of 36 cm. What is its area (in square cm)?
  4. 4.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.The perimeter of a rectangle is 86 cm and its length is 24 cm. What is its width (in cm)?
  6. 6.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  7. 7.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
  10. 10.A wall is 8 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.The perimeter of a rectangle is 52 cm and its length is 17 cm. What is its width (in cm)?
  12. 12.Each side of a regular pentagon is 7 cm. What is its perimeter (in cm)?
  13. 13.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  14. 14.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  15. 15.A square has a perimeter of 16 cm. What is its area (in square cm)?
  16. 16.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.A square has a perimeter of 76 cm. What is its area (in square cm)?
  18. 18.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.The perimeter of a rectangle is 78 cm and its length is 27 cm. What is its width (in cm)?
  20. 20.From a rectangle 9 cm long and 10 cm wide, a rectangle 7 cm by 2 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 80 cm. What is its area (in square cm)?
  22. 22.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  25. 25.From a rectangle 11 cm long and 13 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  29. 29.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  30. 30.From a rectangle 7 cm long and 13 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.A wall is 4 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.From a rectangle 14 cm long and 5 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  34. 34.A wall is 10 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A wall is 5 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A wall is 12 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A wall is 4 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.A wall is 5 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A wall is 3 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.Each side of a square is 17 cm. What is its perimeter (in cm)?

Answer key

  1. 960
  2. 49
  3. 81
  4. 4500
  5. 19
  6. 40
  7. 40
  8. 2760
  9. 88
  10. 320
  11. 9
  12. 35
  13. 48
  14. 72
  15. 16
  16. 540
  17. 361
  18. 2070
  19. 12
  20. 76
  21. 400
  22. 560
  23. 360
  24. 152
  25. 119
  26. 10
  27. 1600
  28. 80
  29. 36
  30. 87
  31. 480
  32. 68
  33. 120
  34. 600
  35. 600
  36. 1440
  37. 360
  38. 900
  39. 60
  40. 68

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