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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 22 · 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 100 m long and 55 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  3. 3.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
  4. 4.A rectangular field is 75 m long and 25 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.A square has a perimeter of 28 cm. What is its area (in square cm)?
  6. 6.The perimeter of a rectangle is 82 cm and its length is 25 cm. What is its width (in cm)?
  7. 7.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.Each side of a square is 6 cm. What is its perimeter (in cm)?
  9. 9.From a rectangle 20 cm long and 7 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.The perimeter of a rectangle is 46 cm and its length is 14 cm. What is its width (in cm)?
  11. 11.The perimeter of a rectangle is 48 cm and its length is 19 cm. What is its width (in cm)?
  12. 12.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
  13. 13.From a rectangle 18 cm long and 15 cm wide, a rectangle 13 cm by 13 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 pentagon is 25 cm. What is its perimeter (in cm)?
  15. 15.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  16. 16.A rectangular field is 30 m long and 25 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  17. 17.From a rectangle 8 cm long and 6 cm wide, a rectangle 4 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
  20. 20.From a rectangle 9 cm long and 6 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.From a rectangle 14 cm long and 5 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.Each side of an equilateral triangle is 18 cm. What is its perimeter (in cm)?
  24. 24.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  26. 26.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  27. 27.A rectangular field is 40 m long and 25 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A square has a perimeter of 20 cm. What is its area (in square cm)?
  29. 29.Each side of a regular pentagon is 10 cm. What is its perimeter (in cm)?
  30. 30.A square has a perimeter of 36 cm. What is its area (in square cm)?
  31. 31.A wall is 3 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  33. 33.A wall is 5 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  35. 35.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  36. 36.A wall is 12 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A square has a perimeter of 32 cm. What is its area (in square cm)?
  38. 38.From a rectangle 13 cm long and 5 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  40. 40.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?

Answer key

  1. 1860
  2. 104
  3. 150
  4. 3200
  5. 49
  6. 16
  7. 1700
  8. 24
  9. 133
  10. 9
  11. 5
  12. 90
  13. 101
  14. 125
  15. 192
  16. 2640
  17. 44
  18. 4000
  19. 85
  20. 30
  21. 1890
  22. 50
  23. 54
  24. 2730
  25. 7
  26. 840
  27. 1950
  28. 25
  29. 50
  30. 81
  31. 450
  32. 120
  33. 525
  34. 63
  35. 56
  36. 360
  37. 64
  38. 55
  39. 96
  40. 10

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