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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 209 · 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 rectangular field is 45 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.A wall is 4 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  4. 4.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  6. 6.A square has a perimeter of 76 cm. What is its area (in square cm)?
  7. 7.From a rectangle 11 cm long and 7 cm wide, a rectangle 3 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  9. 9.A rectangular field is 30 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A square has a perimeter of 60 cm. What is its area (in square cm)?
  11. 11.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.From a rectangle 18 cm long and 11 cm wide, a rectangle 11 cm by 8 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 16 cm. What is its perimeter (in cm)?
  15. 15.Each side of a regular octagon is 16 cm. What is its perimeter (in cm)?
  16. 16.From a rectangle 17 cm long and 7 cm wide, a rectangle 12 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A wall is 3 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.The perimeter of a rectangle is 36 cm and its length is 11 cm. What is its width (in cm)?
  19. 19.From a rectangle 10 cm long and 11 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)?
  20. 20.The perimeter of a rectangle is 42 cm and its length is 13 cm. What is its width (in cm)?
  21. 21.A wall is 4 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
  23. 23.A square has a perimeter of 8 cm. What is its area (in square cm)?
  24. 24.Each side of a regular pentagon is 14 cm. What is its perimeter (in cm)?
  25. 25.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  26. 26.From a rectangle 14 cm long and 11 cm wide, a rectangle 1 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.Each side of a square is 20 cm. What is its perimeter (in cm)?
  28. 28.A square has a perimeter of 16 cm. What is its area (in square cm)?
  29. 29.A rectangular field is 100 m long and 45 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A wall is 4 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  32. 32.A wall is 9 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
  34. 34.A wall is 3 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  36. 36.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 ₹)?
  37. 37.From a rectangle 16 cm long and 9 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)?
  38. 38.The perimeter of a rectangle is 70 cm and its length is 26 cm. What is its width (in cm)?
  39. 39.A rectangular field is 100 m long and 90 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?

Answer key

  1. 2880
  2. 80
  3. 72
  4. 1200
  5. 69
  6. 361
  7. 62
  8. 9
  9. 600
  10. 225
  11. 12
  12. 1300
  13. 110
  14. 96
  15. 128
  16. 59
  17. 150
  18. 7
  19. 109
  20. 8
  21. 640
  22. 120
  23. 4
  24. 70
  25. 90
  26. 148
  27. 80
  28. 16
  29. 4640
  30. 400
  31. 168
  32. 405
  33. 66
  34. 180
  35. 96
  36. 150
  37. 120
  38. 9
  39. 2660
  40. 24

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