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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 648 · 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.From a rectangle 14 cm long and 9 cm wide, a rectangle 10 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.Each side of an equilateral triangle is 12 cm. What is its perimeter (in cm)?
  3. 3.A square has a perimeter of 56 cm. What is its area (in square cm)?
  4. 4.From a rectangle 17 cm long and 5 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)?
  5. 5.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  6. 6.The perimeter of a rectangle is 74 cm and its length is 21 cm. What is its width (in cm)?
  7. 7.The perimeter of a rectangle is 44 cm and its length is 14 cm. What is its width (in cm)?
  8. 8.From a rectangle 8 cm long and 5 cm wide, a rectangle 5 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.A rectangular field is 70 m long and 35 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.A rectangular field is 65 m long and 45 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A wall is 10 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A square has a perimeter of 24 cm. What is its area (in square cm)?
  15. 15.A rectangular field is 95 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.From a rectangle 18 cm long and 14 cm wide, a rectangle 4 cm by 10 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.The perimeter of a rectangle is 94 cm and its length is 24 cm. What is its width (in cm)?
  18. 18.Each side of a square is 11 cm. What is its perimeter (in cm)?
  19. 19.A rectangular field is 80 m long and 45 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  21. 21.From a rectangle 6 cm long and 14 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.Each side of a square is 6 cm. What is its perimeter (in cm)?
  24. 24.A square has a perimeter of 68 cm. What is its area (in square cm)?
  25. 25.A wall is 4 m long and 4 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.The perimeter of a rectangle is 40 cm and its length is 17 cm. What is its width (in cm)?
  27. 27.A square has a perimeter of 32 cm. What is its area (in square cm)?
  28. 28.The perimeter of a rectangle is 76 cm and its length is 27 cm. What is its width (in cm)?
  29. 29.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  30. 30.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  31. 31.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  32. 32.A square has a perimeter of 20 cm. What is its area (in square cm)?
  33. 33.From a rectangle 20 cm long and 5 cm wide, a rectangle 15 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.Each side of an equilateral triangle is 20 cm. What is its perimeter (in cm)?
  36. 36.A wall is 6 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  38. 38.A square has a perimeter of 60 cm. What is its area (in square cm)?
  39. 39.From a rectangle 17 cm long and 10 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.A square has a perimeter of 48 cm. What is its area (in square cm)?

Answer key

  1. 86
  2. 36
  3. 196
  4. 52
  5. 25
  6. 16
  7. 8
  8. 25
  9. 3990
  10. 1320
  11. 4060
  12. 1100
  13. 1500
  14. 36
  15. 4620
  16. 212
  17. 23
  18. 44
  19. 5250
  20. 90
  21. 77
  22. 1980
  23. 24
  24. 289
  25. 400
  26. 3
  27. 64
  28. 11
  29. 96
  30. 54
  31. 42
  32. 25
  33. 55
  34. 1530
  35. 60
  36. 630
  37. 96
  38. 225
  39. 163
  40. 144

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