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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 212 · 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 12 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.The perimeter of a rectangle is 94 cm and its length is 24 cm. What is its width (in cm)?
  5. 5.From a rectangle 15 cm long and 8 cm wide, a rectangle 11 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.From a rectangle 17 cm long and 13 cm wide, a rectangle 12 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  7. 7.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  8. 8.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.From a rectangle 16 cm long and 6 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)?
  10. 10.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  11. 11.A wall is 4 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A rectangular field is 90 m long and 65 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.From a rectangle 10 cm long and 7 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  14. 14.A wall is 8 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.The perimeter of a rectangle is 36 cm and its length is 13 cm. What is its width (in cm)?
  16. 16.Each side of a square is 14 cm. What is its perimeter (in cm)?
  17. 17.Each side of a square is 4 cm. What is its perimeter (in cm)?
  18. 18.A square has a perimeter of 20 cm. What is its area (in square cm)?
  19. 19.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  20. 20.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.From a rectangle 9 cm long and 10 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.From a rectangle 17 cm long and 7 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.From a rectangle 18 cm long and 9 cm wide, a rectangle 16 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A square has a perimeter of 48 cm. What is its area (in square cm)?
  25. 25.From a rectangle 6 cm long and 13 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)?
  26. 26.From a rectangle 12 cm long and 12 cm wide, a rectangle 1 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A wall is 10 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  29. 29.The perimeter of a rectangle is 48 cm and its length is 17 cm. What is its width (in cm)?
  30. 30.From a rectangle 6 cm long and 9 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
  34. 34.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.From a rectangle 20 cm long and 5 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  37. 37.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  38. 38.From a rectangle 16 cm long and 13 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.From a rectangle 12 cm long and 6 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)?
  40. 40.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 48
  2. 2070
  3. 2480
  4. 23
  5. 65
  6. 209
  7. 75
  8. 1920
  9. 94
  10. 54
  11. 360
  12. 6200
  13. 62
  14. 800
  15. 5
  16. 56
  17. 16
  18. 25
  19. 168
  20. 3990
  21. 88
  22. 103
  23. 82
  24. 144
  25. 68
  26. 134
  27. 400
  28. 48
  29. 7
  30. 51
  31. 60
  32. 1760
  33. 80
  34. 560
  35. 85
  36. 12
  37. 24
  38. 184
  39. 71
  40. 900

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