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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 395 · 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 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
  4. 4.Each side of a square is 6 cm. What is its perimeter (in cm)?
  5. 5.A square has a perimeter of 36 cm. What is its area (in square cm)?
  6. 6.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  7. 7.A square has a perimeter of 24 cm. What is its area (in square cm)?
  8. 8.The perimeter of a rectangle is 44 cm and its length is 17 cm. What is its width (in cm)?
  9. 9.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  10. 10.A square has a perimeter of 8 cm. What is its area (in square cm)?
  11. 11.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  12. 12.From a rectangle 16 cm long and 6 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.The perimeter of a rectangle is 46 cm and its length is 20 cm. What is its width (in cm)?
  14. 14.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  15. 15.Each side of a regular octagon is 11 cm. What is its perimeter (in cm)?
  16. 16.A square has a perimeter of 72 cm. What is its area (in square cm)?
  17. 17.A rectangular field is 85 m long and 60 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A square has a perimeter of 12 cm. What is its area (in square cm)?
  20. 20.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
  21. 21.A wall is 5 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A rectangular field is 100 m long and 70 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  24. 24.A wall is 7 m long and 3 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
  26. 26.A rectangular field is 65 m long and 30 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A square has a perimeter of 60 cm. What is its area (in square cm)?
  28. 28.A wall is 8 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
  30. 30.A rectangular field is 60 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.From a rectangle 18 cm long and 8 cm wide, a rectangle 10 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A square has a perimeter of 64 cm. What is its area (in square cm)?
  33. 33.From a rectangle 7 cm long and 5 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.The perimeter of a rectangle is 36 cm and its length is 14 cm. What is its width (in cm)?
  35. 35.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.The perimeter of a rectangle is 58 cm and its length is 27 cm. What is its width (in cm)?
  37. 37.A wall is 6 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  39. 39.From a rectangle 18 cm long and 12 cm wide, a rectangle 12 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.A square has a perimeter of 32 cm. What is its area (in square cm)?

Answer key

  1. 630
  2. 3250
  3. 70
  4. 24
  5. 81
  6. 30
  7. 36
  8. 5
  9. 30
  10. 4
  11. 6
  12. 80
  13. 3
  14. 60
  15. 88
  16. 324
  17. 5800
  18. 1540
  19. 9
  20. 3
  21. 375
  22. 5100
  23. 192
  24. 945
  25. 184
  26. 3420
  27. 225
  28. 160
  29. 5
  30. 3220
  31. 104
  32. 256
  33. 23
  34. 4
  35. 1700
  36. 2
  37. 1500
  38. 15
  39. 96
  40. 64

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