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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 155 · 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 square is 11 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 70 m long and 30 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.From a rectangle 6 cm long and 10 cm wide, a rectangle 1 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.From a rectangle 9 cm long and 6 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)?
  5. 5.A square has a perimeter of 48 cm. What is its area (in square cm)?
  6. 6.A square has a perimeter of 32 cm. What is its area (in square cm)?
  7. 7.From a rectangle 16 cm long and 6 cm wide, a rectangle 9 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.The perimeter of a rectangle is 28 cm and its length is 9 cm. What is its width (in cm)?
  9. 9.From a rectangle 11 cm long and 5 cm wide, a rectangle 9 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  11. 11.From a rectangle 8 cm long and 14 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.A square has a perimeter of 24 cm. What is its area (in square cm)?
  13. 13.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  15. 15.From a rectangle 11 cm long and 5 cm wide, a rectangle 1 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.From a rectangle 19 cm long and 6 cm wide, a rectangle 17 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A square has a perimeter of 64 cm. What is its area (in square cm)?
  18. 18.Each side of a regular pentagon is 18 cm. What is its perimeter (in cm)?
  19. 19.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  20. 20.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  21. 21.A square has a perimeter of 52 cm. What is its area (in square cm)?
  22. 22.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A rectangular field is 75 m long and 60 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
  25. 25.From a rectangle 12 cm long and 5 cm wide, a rectangle 9 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.The perimeter of a rectangle is 48 cm and its length is 20 cm. What is its width (in cm)?
  27. 27.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.From a rectangle 8 cm long and 13 cm wide, a rectangle 6 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.Each side of a regular octagon is 24 cm. What is its perimeter (in cm)?
  30. 30.From a rectangle 19 cm long and 7 cm wide, a rectangle 11 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.A wall is 10 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.The perimeter of a rectangle is 50 cm and its length is 14 cm. What is its width (in cm)?
  33. 33.From a rectangle 14 cm long and 5 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)?
  34. 34.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  35. 35.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.The perimeter of a rectangle is 22 cm and its length is 9 cm. What is its width (in cm)?
  37. 37.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
  38. 38.From a rectangle 8 cm long and 6 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)?
  39. 39.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.The perimeter of a rectangle is 76 cm and its length is 22 cm. What is its width (in cm)?

Answer key

  1. 44
  2. 2600
  3. 52
  4. 47
  5. 144
  6. 64
  7. 87
  8. 5
  9. 46
  10. 30
  11. 108
  12. 36
  13. 700
  14. 45
  15. 52
  16. 80
  17. 256
  18. 90
  19. 152
  20. 168
  21. 169
  22. 1530
  23. 1620
  24. 95
  25. 51
  26. 4
  27. 1430
  28. 56
  29. 192
  30. 78
  31. 500
  32. 11
  33. 65
  34. 54
  35. 1200
  36. 2
  37. 66
  38. 43
  39. 2240
  40. 16

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