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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 535 · 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 19 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.Each side of a square is 19 cm. What is its perimeter (in cm)?
  4. 4.A square has a perimeter of 16 cm. What is its area (in square cm)?
  5. 5.A rectangular field is 80 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  7. 7.The perimeter of a rectangle is 94 cm and its length is 24 cm. What is its width (in cm)?
  8. 8.A rectangular field is 80 m long and 35 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A square has a perimeter of 48 cm. What is its area (in square cm)?
  10. 10.A square has a perimeter of 80 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.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  13. 13.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.The perimeter of a rectangle is 26 cm and its length is 9 cm. What is its width (in cm)?
  15. 15.A rectangular field is 75 m long and 30 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.Each side of a square is 5 cm. What is its perimeter (in cm)?
  17. 17.From a rectangle 7 cm long and 8 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)?
  18. 18.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 16 cm long and 9 cm wide, a rectangle 14 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.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 ₹)?
  21. 21.From a rectangle 7 cm long and 8 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)?
  22. 22.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  23. 23.A square has a perimeter of 44 cm. What is its area (in square cm)?
  24. 24.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.From a rectangle 15 cm long and 14 cm wide, a rectangle 9 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.From a rectangle 7 cm long and 13 cm wide, a rectangle 1 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.A rectangular field is 70 m long and 45 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.The perimeter of a rectangle is 90 cm and its length is 30 cm. What is its width (in cm)?
  29. 29.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  30. 30.A rectangular field is 80 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A square has a perimeter of 72 cm. What is its area (in square cm)?
  32. 32.The perimeter of a rectangle is 96 cm and its length is 26 cm. What is its width (in cm)?
  33. 33.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 ₹)?
  34. 34.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  35. 35.The perimeter of a rectangle is 46 cm and its length is 18 cm. What is its width (in cm)?
  36. 36.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A wall is 4 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.A square has a perimeter of 20 cm. What is its area (in square cm)?
  39. 39.A square has a perimeter of 40 cm. What is its area (in square cm)?
  40. 40.A wall is 10 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 95
  2. 400
  3. 76
  4. 16
  5. 3420
  6. 48
  7. 23
  8. 5750
  9. 144
  10. 400
  11. 12
  12. 9
  13. 1120
  14. 4
  15. 4830
  16. 20
  17. 52
  18. 125
  19. 46
  20. 405
  21. 32
  22. 60
  23. 121
  24. 800
  25. 111
  26. 80
  27. 2760
  28. 15
  29. 40
  30. 1900
  31. 324
  32. 22
  33. 640
  34. 152
  35. 5
  36. 1200
  37. 240
  38. 25
  39. 100
  40. 200

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