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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 713 · 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 hexagon is 22 cm. What is its perimeter (in cm)?
  2. 2.From a rectangle 18 cm long and 14 cm wide, a rectangle 12 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.A square has a perimeter of 60 cm. What is its area (in square cm)?
  4. 4.Each side of a square is 2 cm. What is its perimeter (in cm)?
  5. 5.A rectangular field is 85 m long and 40 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.A rectangular field is 45 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A square has a perimeter of 64 cm. What is its area (in square cm)?
  8. 8.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  9. 9.A wall is 11 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.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 ₹)?
  11. 11.The perimeter of a rectangle is 52 cm and its length is 23 cm. What is its width (in cm)?
  12. 12.The perimeter of a rectangle is 72 cm and its length is 24 cm. What is its width (in cm)?
  13. 13.The perimeter of a rectangle is 86 cm and its length is 25 cm. What is its width (in cm)?
  14. 14.Each side of a square is 10 cm. What is its perimeter (in cm)?
  15. 15.A rectangular field is 100 m long and 15 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A square has a perimeter of 76 cm. What is its area (in square cm)?
  17. 17.The perimeter of a rectangle is 72 cm and its length is 27 cm. What is its width (in cm)?
  18. 18.A square has a perimeter of 36 cm. What is its area (in square cm)?
  19. 19.The perimeter of a rectangle is 50 cm and its length is 16 cm. What is its width (in cm)?
  20. 20.From a rectangle 7 cm long and 11 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)?
  21. 21.A wall is 9 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
  23. 23.The perimeter of a rectangle is 28 cm and its length is 8 cm. What is its width (in cm)?
  24. 24.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  25. 25.The perimeter of a rectangle is 70 cm and its length is 19 cm. What is its width (in cm)?
  26. 26.From a rectangle 14 cm long and 5 cm wide, a rectangle 2 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  27. 27.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  28. 28.A square has a perimeter of 12 cm. What is its area (in square cm)?
  29. 29.From a rectangle 17 cm long and 13 cm wide, a rectangle 7 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  31. 31.From a rectangle 19 cm long and 5 cm wide, a rectangle 12 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A rectangular field is 55 m long and 35 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
  34. 34.A wall is 5 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.Each side of a regular octagon is 9 cm. What is its perimeter (in cm)?
  36. 36.A square has a perimeter of 20 cm. What is its area (in square cm)?
  37. 37.Each side of a square is 15 cm. What is its perimeter (in cm)?
  38. 38.From a rectangle 7 cm long and 14 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.The perimeter of a rectangle is 88 cm and its length is 30 cm. What is its width (in cm)?
  40. 40.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?

Answer key

  1. 132
  2. 120
  3. 225
  4. 8
  5. 5500
  6. 2520
  7. 256
  8. 10
  9. 2475
  10. 960
  11. 3
  12. 12
  13. 18
  14. 40
  15. 4140
  16. 361
  17. 9
  18. 81
  19. 9
  20. 73
  21. 540
  22. 2
  23. 6
  24. 16
  25. 16
  26. 68
  27. 160
  28. 9
  29. 144
  30. 42
  31. 59
  32. 1800
  33. 24
  34. 750
  35. 72
  36. 25
  37. 60
  38. 93
  39. 14
  40. 136

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