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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 697 · 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 6 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  3. 3.Each side of a square is 20 cm. What is its perimeter (in cm)?
  4. 4.A wall is 3 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A wall is 11 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A rectangular field is 90 m long and 55 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.From a rectangle 20 cm long and 7 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.A square has a perimeter of 16 cm. What is its area (in square cm)?
  9. 9.A square has a perimeter of 44 cm. What is its area (in square cm)?
  10. 10.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  11. 11.A wall is 5 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A square has a perimeter of 80 cm. What is its area (in square cm)?
  13. 13.Each side of a square is 25 cm. What is its perimeter (in cm)?
  14. 14.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  15. 15.The perimeter of a rectangle is 84 cm and its length is 22 cm. What is its width (in cm)?
  16. 16.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  17. 17.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  18. 18.From a rectangle 14 cm long and 7 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)?
  19. 19.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  20. 20.From a rectangle 9 cm long and 5 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  22. 22.The perimeter of a rectangle is 54 cm and its length is 20 cm. What is its width (in cm)?
  23. 23.From a rectangle 15 cm long and 15 cm wide, a rectangle 9 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.From a rectangle 11 cm long and 8 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.A wall is 8 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A square has a perimeter of 64 cm. What is its area (in square cm)?
  27. 27.A wall is 3 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  29. 29.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  30. 30.The perimeter of a rectangle is 52 cm and its length is 14 cm. What is its width (in cm)?
  31. 31.A square has a perimeter of 76 cm. What is its area (in square cm)?
  32. 32.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
  33. 33.A wall is 3 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.From a rectangle 7 cm long and 5 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.The perimeter of a rectangle is 88 cm and its length is 26 cm. What is its width (in cm)?
  36. 36.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  37. 37.A rectangular field is 100 m long and 55 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.The perimeter of a rectangle is 50 cm and its length is 20 cm. What is its width (in cm)?
  39. 39.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?

Answer key

  1. 240
  2. 75
  3. 80
  4. 450
  5. 1100
  6. 5220
  7. 127
  8. 16
  9. 121
  10. 18
  11. 450
  12. 400
  13. 100
  14. 16
  15. 20
  16. 57
  17. 45
  18. 97
  19. 50
  20. 40
  21. 2
  22. 7
  23. 216
  24. 61
  25. 240
  26. 256
  27. 150
  28. 36
  29. 84
  30. 12
  31. 361
  32. 125
  33. 270
  34. 33
  35. 18
  36. 96
  37. 6820
  38. 5
  39. 800
  40. 7

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