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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 486 · 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 square is 17 cm. What is its perimeter (in cm)?
  2. 2.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  3. 3.The perimeter of a rectangle is 66 cm and its length is 19 cm. What is its width (in cm)?
  4. 4.A rectangular field is 90 m long and 70 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A wall is 5 m long and 6 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A rectangular field is 100 m long and 70 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A wall is 10 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A wall is 8 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.From a rectangle 12 cm long and 12 cm wide, a rectangle 6 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.From a rectangle 14 cm long and 9 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.From a rectangle 15 cm long and 9 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.A square has a perimeter of 20 cm. What is its area (in square cm)?
  13. 13.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  14. 14.A rectangular field is 85 m long and 65 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A wall is 4 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.A wall is 11 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A square has a perimeter of 60 cm. What is its area (in square cm)?
  18. 18.The perimeter of a rectangle is 60 cm and its length is 26 cm. What is its width (in cm)?
  19. 19.A square has a perimeter of 24 cm. What is its area (in square cm)?
  20. 20.From a rectangle 13 cm long and 9 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)?
  21. 21.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 ₹)?
  22. 22.The perimeter of a rectangle is 96 cm and its length is 25 cm. What is its width (in cm)?
  23. 23.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  24. 24.A wall is 12 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.The perimeter of a rectangle is 34 cm and its length is 12 cm. What is its width (in cm)?
  26. 26.A rectangular field is 100 m long and 30 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.The perimeter of a rectangle is 24 cm and its length is 9 cm. What is its width (in cm)?
  28. 28.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  30. 30.From a rectangle 9 cm long and 13 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.A wall is 5 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.The perimeter of a rectangle is 66 cm and its length is 21 cm. What is its width (in cm)?
  33. 33.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  35. 35.A square has a perimeter of 12 cm. What is its area (in square cm)?
  36. 36.A wall is 5 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.The perimeter of a rectangle is 68 cm and its length is 23 cm. What is its width (in cm)?
  38. 38.The perimeter of a rectangle is 60 cm and its length is 19 cm. What is its width (in cm)?
  39. 39.A rectangular field is 75 m long and 35 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.A wall is 5 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 68
  2. 9
  3. 14
  4. 7040
  5. 1200
  6. 8500
  7. 1050
  8. 320
  9. 96
  10. 105
  11. 117
  12. 25
  13. 16
  14. 6300
  15. 360
  16. 770
  17. 225
  18. 4
  19. 36
  20. 101
  21. 900
  22. 23
  23. 21
  24. 1260
  25. 5
  26. 1820
  27. 3
  28. 1530
  29. 4
  30. 102
  31. 150
  32. 12
  33. 900
  34. 60
  35. 9
  36. 200
  37. 11
  38. 11
  39. 1760
  40. 300

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