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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 57 · 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 hexagon is 19 cm. What is its perimeter (in cm)?
  2. 2.A wall is 5 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A square has a perimeter of 56 cm. What is its area (in square cm)?
  4. 4.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  5. 5.A square has a perimeter of 80 cm. What is its area (in square cm)?
  6. 6.A wall is 7 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A square has a perimeter of 72 cm. What is its area (in square cm)?
  8. 8.The perimeter of a rectangle is 38 cm and its length is 15 cm. What is its width (in cm)?
  9. 9.The perimeter of a rectangle is 64 cm and its length is 25 cm. What is its width (in cm)?
  10. 10.A wall is 3 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.A square has a perimeter of 60 cm. What is its area (in square cm)?
  12. 12.A rectangular field is 95 m long and 30 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  14. 14.A rectangular field is 85 m long and 45 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  16. 16.The perimeter of a rectangle is 62 cm and its length is 24 cm. What is its width (in cm)?
  17. 17.A wall is 10 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.The perimeter of a rectangle is 68 cm and its length is 20 cm. What is its width (in cm)?
  19. 19.A wall is 7 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.The perimeter of a rectangle is 62 cm and its length is 18 cm. What is its width (in cm)?
  21. 21.A wall is 7 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.From a rectangle 14 cm long and 6 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.The perimeter of a rectangle is 38 cm and its length is 16 cm. What is its width (in cm)?
  24. 24.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
  25. 25.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.From a rectangle 20 cm long and 14 cm wide, a rectangle 9 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  28. 28.A rectangular field is 90 m long and 60 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  30. 30.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
  31. 31.From a rectangle 14 cm long and 11 cm wide, a rectangle 5 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  34. 34.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  35. 35.From a rectangle 13 cm long and 5 cm wide, a rectangle 11 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A rectangular field is 50 m long and 25 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.From a rectangle 15 cm long and 9 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)?
  38. 38.Each side of a square is 18 cm. What is its perimeter (in cm)?
  39. 39.From a rectangle 12 cm long and 6 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)?
  40. 40.A rectangular field is 70 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 114
  2. 250
  3. 196
  4. 96
  5. 400
  6. 140
  7. 324
  8. 4
  9. 7
  10. 180
  11. 225
  12. 5000
  13. 12
  14. 3640
  15. 48
  16. 7
  17. 200
  18. 14
  19. 700
  20. 13
  21. 350
  22. 64
  23. 3
  24. 5
  25. 1600
  26. 172
  27. 5
  28. 3600
  29. 75
  30. 136
  31. 119
  32. 1920
  33. 108
  34. 60
  35. 32
  36. 3150
  37. 131
  38. 72
  39. 71
  40. 1620

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