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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 558 · 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 octagon is 11 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 95 m long and 50 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  5. 5.Each side of a square is 19 cm. What is its perimeter (in cm)?
  6. 6.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  7. 7.The perimeter of a rectangle is 70 cm and its length is 22 cm. What is its width (in cm)?
  8. 8.A square has a perimeter of 16 cm. What is its area (in square cm)?
  9. 9.A rectangular field is 75 m long and 65 m wide. Fencing costs ₹14 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.The perimeter of a rectangle is 58 cm and its length is 16 cm. What is its width (in cm)?
  12. 12.From a rectangle 8 cm long and 14 cm wide, a rectangle 2 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.The perimeter of a rectangle is 64 cm and its length is 29 cm. What is its width (in cm)?
  14. 14.A square has a perimeter of 36 cm. What is its area (in square cm)?
  15. 15.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  16. 16.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  17. 17.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A square has a perimeter of 72 cm. What is its area (in square cm)?
  19. 19.A wall is 6 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
  21. 21.The perimeter of a rectangle is 24 cm and its length is 7 cm. What is its width (in cm)?
  22. 22.A rectangular field is 75 m long and 40 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.From a rectangle 6 cm long and 15 cm wide, a rectangle 2 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A rectangular field is 95 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A wall is 11 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.A square has a perimeter of 28 cm. What is its area (in square cm)?
  27. 27.A square has a perimeter of 32 cm. What is its area (in square cm)?
  28. 28.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  29. 29.The perimeter of a rectangle is 82 cm and its length is 29 cm. What is its width (in cm)?
  30. 30.From a rectangle 11 cm long and 10 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹19 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 8 cm. What is its width (in cm)?
  33. 33.A square has a perimeter of 76 cm. What is its area (in square cm)?
  34. 34.Each side of a square is 10 cm. What is its perimeter (in cm)?
  35. 35.A wall is 5 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.The perimeter of a rectangle is 88 cm and its length is 25 cm. What is its width (in cm)?
  37. 37.The perimeter of a rectangle is 76 cm and its length is 24 cm. What is its width (in cm)?
  38. 38.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  40. 40.A wall is 11 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 88
  2. 1740
  3. 420
  4. 30
  5. 76
  6. 4
  7. 13
  8. 16
  9. 3920
  10. 225
  11. 13
  12. 94
  13. 3
  14. 81
  15. 60
  16. 66
  17. 1690
  18. 324
  19. 240
  20. 24
  21. 5
  22. 2300
  23. 68
  24. 2160
  25. 2310
  26. 49
  27. 64
  28. 42
  29. 12
  30. 103
  31. 5130
  32. 2
  33. 361
  34. 40
  35. 400
  36. 19
  37. 14
  38. 2340
  39. 57
  40. 1650

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