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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 588 · 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 17 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 70 m long and 50 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.From a rectangle 11 cm long and 6 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)?
  4. 4.The perimeter of a rectangle is 54 cm and its length is 15 cm. What is its width (in cm)?
  5. 5.The perimeter of a rectangle is 70 cm and its length is 28 cm. What is its width (in cm)?
  6. 6.The perimeter of a rectangle is 98 cm and its length is 26 cm. What is its width (in cm)?
  7. 7.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
  8. 8.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  9. 9.From a rectangle 9 cm long and 12 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.A square has a perimeter of 28 cm. What is its area (in square cm)?
  11. 11.A wall is 4 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A wall is 5 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  13. 13.A square has a perimeter of 40 cm. What is its area (in square cm)?
  14. 14.The perimeter of a rectangle is 64 cm and its length is 21 cm. What is its width (in cm)?
  15. 15.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  16. 16.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
  17. 17.The perimeter of a rectangle is 78 cm and its length is 21 cm. What is its width (in cm)?
  18. 18.From a rectangle 8 cm long and 12 cm wide, a rectangle 1 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.Each side of a square is 9 cm. What is its perimeter (in cm)?
  20. 20.A rectangular field is 85 m long and 45 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.From a rectangle 13 cm long and 7 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)?
  22. 22.A square has a perimeter of 20 cm. What is its area (in square cm)?
  23. 23.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  24. 24.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  25. 25.A rectangular field is 85 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  27. 27.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
  28. 28.The perimeter of a rectangle is 46 cm and its length is 16 cm. What is its width (in cm)?
  29. 29.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  30. 30.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.The perimeter of a rectangle is 74 cm and its length is 22 cm. What is its width (in cm)?
  32. 32.Each side of a square is 22 cm. What is its perimeter (in cm)?
  33. 33.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  34. 34.A wall is 10 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.Each side of a regular pentagon is 11 cm. What is its perimeter (in cm)?
  36. 36.A rectangular field is 35 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.From a rectangle 12 cm long and 7 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  38. 38.Each side of a regular hexagon is 20 cm. What is its perimeter (in cm)?
  39. 39.The perimeter of a rectangle is 80 cm and its length is 26 cm. What is its width (in cm)?
  40. 40.A square has a perimeter of 48 cm. What is its area (in square cm)?

Answer key

  1. 85
  2. 2880
  3. 62
  4. 12
  5. 7
  6. 23
  7. 4
  8. 152
  9. 103
  10. 49
  11. 200
  12. 300
  13. 100
  14. 11
  15. 16
  16. 15
  17. 18
  18. 86
  19. 36
  20. 3120
  21. 87
  22. 25
  23. 90
  24. 72
  25. 2200
  26. 144
  27. 114
  28. 7
  29. 56
  30. 960
  31. 15
  32. 88
  33. 80
  34. 500
  35. 55
  36. 2200
  37. 78
  38. 120
  39. 14
  40. 144

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