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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 526 · 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 5 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  4. 4.A wall is 7 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.The perimeter of a rectangle is 94 cm and its length is 24 cm. What is its width (in cm)?
  6. 6.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  7. 7.From a rectangle 9 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)?
  8. 8.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  9. 9.A rectangular field is 60 m long and 30 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  10. 10.From a rectangle 18 cm long and 12 cm wide, a rectangle 11 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.A rectangular field is 85 m long and 30 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
  13. 13.A rectangular field is 85 m long and 65 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A wall is 5 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.From a rectangle 12 cm long and 12 cm wide, a rectangle 10 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  16. 16.The perimeter of a rectangle is 42 cm and its length is 12 cm. What is its width (in cm)?
  17. 17.Each side of a regular pentagon is 21 cm. What is its perimeter (in cm)?
  18. 18.A rectangular field is 85 m long and 50 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.The perimeter of a rectangle is 66 cm and its length is 21 cm. What is its width (in cm)?
  20. 20.A rectangular field is 65 m long and 10 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A square has a perimeter of 80 cm. What is its area (in square cm)?
  22. 22.A wall is 6 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.A rectangular field is 45 m long and 25 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.Each side of an equilateral triangle is 10 cm. What is its perimeter (in cm)?
  25. 25.A rectangular field is 75 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A square has a perimeter of 24 cm. What is its area (in square cm)?
  27. 27.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  28. 28.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A wall is 10 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  30. 30.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A square has a perimeter of 60 cm. What is its area (in square cm)?
  32. 32.A wall is 9 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.A square has a perimeter of 44 cm. What is its area (in square cm)?
  34. 34.A square has a perimeter of 36 cm. What is its area (in square cm)?
  35. 35.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  36. 36.From a rectangle 10 cm long and 11 cm wide, a rectangle 7 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.A rectangular field is 55 m long and 45 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A wall is 12 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.The perimeter of a rectangle is 42 cm and its length is 11 cm. What is its width (in cm)?
  40. 40.The perimeter of a rectangle is 54 cm and its length is 14 cm. What is its width (in cm)?

Answer key

  1. 30
  2. 640
  3. 18
  4. 525
  5. 23
  6. 80
  7. 42
  8. 144
  9. 4140
  10. 194
  11. 5520
  12. 24
  13. 6600
  14. 400
  15. 124
  16. 9
  17. 105
  18. 4320
  19. 12
  20. 1350
  21. 400
  22. 750
  23. 2380
  24. 30
  25. 3570
  26. 36
  27. 104
  28. 1400
  29. 1050
  30. 2310
  31. 225
  32. 2025
  33. 121
  34. 81
  35. 40
  36. 82
  37. 3600
  38. 600
  39. 10
  40. 13

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