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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 227 · 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.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  3. 3.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A rectangular field is 95 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.From a rectangle 17 cm long and 6 cm wide, a rectangle 11 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.From a rectangle 8 cm long and 8 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)?
  7. 7.A square has a perimeter of 16 cm. What is its area (in square cm)?
  8. 8.A square has a perimeter of 44 cm. What is its area (in square cm)?
  9. 9.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.Each side of a square is 15 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a rectangle is 64 cm and its length is 30 cm. What is its width (in cm)?
  12. 12.The perimeter of a rectangle is 56 cm and its length is 22 cm. What is its width (in cm)?
  13. 13.The perimeter of a rectangle is 30 cm and its length is 11 cm. What is its width (in cm)?
  14. 14.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.From a rectangle 12 cm long and 8 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.A rectangular field is 75 m long and 20 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.From a rectangle 9 cm long and 14 cm wide, a rectangle 3 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  19. 19.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A wall is 3 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  23. 23.The perimeter of a rectangle is 84 cm and its length is 25 cm. What is its width (in cm)?
  24. 24.The perimeter of a rectangle is 78 cm and its length is 26 cm. What is its width (in cm)?
  25. 25.The perimeter of a rectangle is 56 cm and its length is 16 cm. What is its width (in cm)?
  26. 26.The perimeter of a rectangle is 58 cm and its length is 17 cm. What is its width (in cm)?
  27. 27.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A square has a perimeter of 40 cm. What is its area (in square cm)?
  30. 30.The perimeter of a rectangle is 50 cm and its length is 16 cm. What is its width (in cm)?
  31. 31.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A wall is 3 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  34. 34.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
  35. 35.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  36. 36.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A rectangular field is 45 m long and 10 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A wall is 3 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A wall is 10 m long and 4 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.The perimeter of a rectangle is 52 cm and its length is 23 cm. What is its width (in cm)?

Answer key

  1. 88
  2. 102
  3. 900
  4. 4410
  5. 69
  6. 63
  7. 16
  8. 121
  9. 1170
  10. 60
  11. 2
  12. 6
  13. 4
  14. 2320
  15. 84
  16. 3040
  17. 105
  18. 4
  19. 700
  20. 630
  21. 4480
  22. 12
  23. 17
  24. 13
  25. 12
  26. 12
  27. 2500
  28. 1440
  29. 100
  30. 9
  31. 1260
  32. 270
  33. 39
  34. 7
  35. 126
  36. 1860
  37. 1210
  38. 135
  39. 800
  40. 3

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