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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 198 · 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 10 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.Each side of a square is 21 cm. What is its perimeter (in cm)?
  3. 3.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A square has a perimeter of 24 cm. What is its area (in square cm)?
  5. 5.The perimeter of a rectangle is 64 cm and its length is 24 cm. What is its width (in cm)?
  6. 6.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
  7. 7.From a rectangle 7 cm long and 8 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.The perimeter of a rectangle is 64 cm and its length is 22 cm. What is its width (in cm)?
  9. 9.From a rectangle 9 cm long and 14 cm wide, a rectangle 7 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.From a rectangle 19 cm long and 12 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)?
  11. 11.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  12. 12.A square has a perimeter of 12 cm. What is its area (in square cm)?
  13. 13.From a rectangle 12 cm long and 7 cm wide, a rectangle 9 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  15. 15.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  16. 16.Each side of a square is 23 cm. What is its perimeter (in cm)?
  17. 17.From a rectangle 10 cm long and 7 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)?
  18. 18.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A square has a perimeter of 72 cm. What is its area (in square cm)?
  20. 20.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  21. 21.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
  22. 22.From a rectangle 8 cm long and 10 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A square has a perimeter of 44 cm. What is its area (in square cm)?
  24. 24.A wall is 10 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  25. 25.The perimeter of a rectangle is 70 cm and its length is 30 cm. What is its width (in cm)?
  26. 26.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  27. 27.A wall is 5 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.A wall is 9 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A rectangular field is 95 m long and 65 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.From a rectangle 20 cm long and 12 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)?
  31. 31.A rectangular field is 60 m long and 55 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  33. 33.A square has a perimeter of 60 cm. What is its area (in square cm)?
  34. 34.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
  35. 35.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 ₹)?
  36. 36.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  37. 37.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.Each side of a square is 7 cm. What is its perimeter (in cm)?
  39. 39.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?
  40. 40.From a rectangle 13 cm long and 7 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)?

Answer key

  1. 1400
  2. 84
  3. 3450
  4. 36
  5. 8
  6. 150
  7. 50
  8. 10
  9. 77
  10. 223
  11. 2
  12. 9
  13. 39
  14. 132
  15. 32
  16. 92
  17. 54
  18. 5060
  19. 324
  20. 55
  21. 3
  22. 76
  23. 121
  24. 2700
  25. 5
  26. 25
  27. 400
  28. 1440
  29. 5120
  30. 235
  31. 3220
  32. 4
  33. 225
  34. 3
  35. 240
  36. 57
  37. 1840
  38. 28
  39. 5
  40. 79

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