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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 200 · 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 pentagon is 18 cm. What is its perimeter (in cm)?
  2. 2.A wall is 9 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A wall is 10 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.The perimeter of a rectangle is 76 cm and its length is 26 cm. What is its width (in cm)?
  5. 5.The perimeter of a rectangle is 96 cm and its length is 30 cm. What is its width (in cm)?
  6. 6.A square has a perimeter of 16 cm. What is its area (in square cm)?
  7. 7.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 ₹)?
  8. 8.The perimeter of a rectangle is 76 cm and its length is 27 cm. What is its width (in cm)?
  9. 9.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A square has a perimeter of 12 cm. What is its area (in square cm)?
  11. 11.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
  12. 12.The perimeter of a rectangle is 82 cm and its length is 22 cm. What is its width (in cm)?
  13. 13.Each side of a square is 2 cm. What is its perimeter (in cm)?
  14. 14.A wall is 5 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.The perimeter of a rectangle is 68 cm and its length is 20 cm. What is its width (in cm)?
  16. 16.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  17. 17.A square has a perimeter of 36 cm. What is its area (in square cm)?
  18. 18.Each side of a square is 4 cm. What is its perimeter (in cm)?
  19. 19.A square has a perimeter of 32 cm. What is its area (in square cm)?
  20. 20.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A wall is 9 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  23. 23.From a rectangle 6 cm long and 11 cm wide, a rectangle 2 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A rectangular field is 100 m long and 80 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.Each side of a square is 9 cm. What is its perimeter (in cm)?
  26. 26.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 90 m long and 65 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A square has a perimeter of 52 cm. What is its area (in square cm)?
  29. 29.A square has a perimeter of 72 cm. What is its area (in square cm)?
  30. 30.From a rectangle 18 cm long and 10 cm wide, a rectangle 5 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.The perimeter of a rectangle is 82 cm and its length is 28 cm. What is its width (in cm)?
  32. 32.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  34. 34.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  35. 35.A rectangular field is 100 m long and 75 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.The perimeter of a rectangle is 80 cm and its length is 25 cm. What is its width (in cm)?
  39. 39.A wall is 9 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?

Answer key

  1. 90
  2. 2025
  3. 450
  4. 12
  5. 18
  6. 16
  7. 600
  8. 11
  9. 960
  10. 9
  11. 100
  12. 19
  13. 8
  14. 600
  15. 14
  16. 51
  17. 81
  18. 16
  19. 64
  20. 450
  21. 450
  22. 32
  23. 54
  24. 6480
  25. 36
  26. 66
  27. 5890
  28. 169
  29. 324
  30. 140
  31. 13
  32. 4560
  33. 39
  34. 96
  35. 7000
  36. 2800
  37. 1170
  38. 15
  39. 1890
  40. 10

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