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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 64 · 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 40 m long and 25 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.The perimeter of a rectangle is 36 cm and its length is 14 cm. What is its width (in cm)?
  3. 3.A square has a perimeter of 36 cm. What is its area (in square cm)?
  4. 4.A square has a perimeter of 8 cm. What is its area (in square cm)?
  5. 5.From a rectangle 12 cm long and 5 cm wide, a rectangle 9 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  7. 7.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?
  9. 9.From a rectangle 11 cm long and 14 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)?
  10. 10.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.Each side of a square is 21 cm. What is its perimeter (in cm)?
  12. 12.The perimeter of a rectangle is 80 cm and its length is 23 cm. What is its width (in cm)?
  13. 13.From a rectangle 8 cm long and 8 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)?
  14. 14.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  15. 15.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  16. 16.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
  17. 17.A wall is 8 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A wall is 8 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A square has a perimeter of 40 cm. What is its area (in square cm)?
  20. 20.From a rectangle 19 cm long and 11 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.A wall is 7 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.From a rectangle 6 cm long and 7 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.A square has a perimeter of 20 cm. What is its area (in square cm)?
  25. 25.The perimeter of a rectangle is 88 cm and its length is 29 cm. What is its width (in cm)?
  26. 26.A square has a perimeter of 80 cm. What is its area (in square cm)?
  27. 27.The perimeter of a rectangle is 34 cm and its length is 10 cm. What is its width (in cm)?
  28. 28.From a rectangle 18 cm long and 13 cm wide, a rectangle 10 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
  30. 30.A wall is 11 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.From a rectangle 9 cm long and 10 cm wide, a rectangle 5 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A rectangular field is 85 m long and 60 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.From a rectangle 19 cm long and 6 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.From a rectangle 10 cm long and 7 cm wide, a rectangle 4 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.A rectangular field is 60 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.Each side of a square is 13 cm. What is its perimeter (in cm)?
  37. 37.Each side of a square is 24 cm. What is its perimeter (in cm)?
  38. 38.The perimeter of a rectangle is 52 cm and its length is 24 cm. What is its width (in cm)?
  39. 39.From a rectangle 7 cm long and 15 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)?
  40. 40.From a rectangle 7 cm long and 7 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)?

Answer key

  1. 650
  2. 4
  3. 81
  4. 4
  5. 42
  6. 2
  7. 1870
  8. 4
  9. 146
  10. 350
  11. 84
  12. 17
  13. 60
  14. 40
  15. 18
  16. 105
  17. 840
  18. 240
  19. 100
  20. 203
  21. 960
  22. 280
  23. 40
  24. 25
  25. 15
  26. 400
  27. 7
  28. 154
  29. 2
  30. 660
  31. 60
  32. 1450
  33. 108
  34. 62
  35. 3740
  36. 52
  37. 96
  38. 2
  39. 101
  40. 45

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