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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 485 · 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 ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  2. 2.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  3. 3.The perimeter of a rectangle is 62 cm and its length is 18 cm. What is its width (in cm)?
  4. 4.From a rectangle 6 cm long and 13 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)?
  5. 5.A wall is 9 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A square has a perimeter of 80 cm. What is its area (in square cm)?
  8. 8.The perimeter of a rectangle is 34 cm and its length is 11 cm. What is its width (in cm)?
  9. 9.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.A wall is 5 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.From a rectangle 18 cm long and 13 cm wide, a rectangle 5 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  13. 13.A wall is 6 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.The perimeter of a rectangle is 84 cm and its length is 30 cm. What is its width (in cm)?
  16. 16.A square has a perimeter of 64 cm. What is its area (in square cm)?
  17. 17.A square has a perimeter of 44 cm. What is its area (in square cm)?
  18. 18.Each side of a regular octagon is 2 cm. What is its perimeter (in cm)?
  19. 19.From a rectangle 13 cm long and 9 cm wide, a rectangle 7 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A square has a perimeter of 36 cm. What is its area (in square cm)?
  21. 21.The perimeter of a rectangle is 32 cm and its length is 9 cm. What is its width (in cm)?
  22. 22.A rectangular field is 55 m long and 35 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 8 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 rectangular field is 45 m long and 15 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
  27. 27.A square has a perimeter of 24 cm. What is its area (in square cm)?
  28. 28.A rectangular field is 75 m long and 30 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A wall is 11 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  31. 31.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A square has a perimeter of 12 cm. What is its area (in square cm)?
  34. 34.From a rectangle 7 cm long and 14 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.From a rectangle 7 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)?
  36. 36.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  37. 37.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  38. 38.Each side of an equilateral triangle is 3 cm. What is its perimeter (in cm)?
  39. 39.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  40. 40.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?

Answer key

  1. 1430
  2. 36
  3. 13
  4. 38
  5. 1575
  6. 1190
  7. 400
  8. 6
  9. 2640
  10. 625
  11. 214
  12. 3
  13. 1200
  14. 2160
  15. 12
  16. 256
  17. 121
  18. 16
  19. 82
  20. 81
  21. 7
  22. 1980
  23. 32
  24. 289
  25. 2760
  26. 5
  27. 36
  28. 3150
  29. 550
  30. 60
  31. 104
  32. 1750
  33. 9
  34. 93
  35. 37
  36. 66
  37. 176
  38. 9
  39. 152
  40. 40

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