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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 47 · 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 8 cm. What is its perimeter (in cm)?
  2. 2.A square has a perimeter of 40 cm. What is its area (in square cm)?
  3. 3.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  4. 4.A wall is 5 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.From a rectangle 11 cm long and 6 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  7. 7.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 ₹)?
  8. 8.A wall is 6 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.A rectangular field is 75 m long and 30 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  11. 11.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  12. 12.A square has a perimeter of 76 cm. What is its area (in square cm)?
  13. 13.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  14. 14.A wall is 12 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.From a rectangle 9 cm long and 11 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.A wall is 4 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A square has a perimeter of 28 cm. What is its area (in square cm)?
  18. 18.A wall is 10 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A wall is 5 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.Each side of a square is 23 cm. What is its perimeter (in cm)?
  21. 21.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
  22. 22.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.From a rectangle 8 cm long and 9 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 38 cm and its length is 11 cm. What is its width (in cm)?
  28. 28.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A rectangular field is 65 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.The perimeter of a rectangle is 46 cm and its length is 14 cm. What is its width (in cm)?
  31. 31.A wall is 3 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A wall is 6 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  34. 34.The perimeter of a rectangle is 72 cm and its length is 27 cm. What is its width (in cm)?
  35. 35.A wall is 8 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.A wall is 12 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  38. 38.A wall is 3 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
  40. 40.A wall is 11 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 32
  2. 100
  3. 60
  4. 750
  5. 54
  6. 16
  7. 560
  8. 720
  9. 5250
  10. 75
  11. 21
  12. 361
  13. 54
  14. 960
  15. 96
  16. 400
  17. 49
  18. 800
  19. 250
  20. 92
  21. 85
  22. 1800
  23. 1350
  24. 62
  25. 1920
  26. 66
  27. 8
  28. 2160
  29. 1440
  30. 9
  31. 600
  32. 630
  33. 138
  34. 9
  35. 600
  36. 240
  37. 160
  38. 180
  39. 3
  40. 880

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