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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 406 · 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 pentagon is 19 cm. What is its perimeter (in cm)?
  2. 2.The perimeter of a rectangle is 70 cm and its length is 18 cm. What is its width (in cm)?
  3. 3.Each side of a regular pentagon is 25 cm. What is its perimeter (in cm)?
  4. 4.The perimeter of a rectangle is 44 cm and its length is 13 cm. What is its width (in cm)?
  5. 5.Each side of a regular hexagon is 12 cm. What is its perimeter (in cm)?
  6. 6.From a rectangle 7 cm long and 6 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)?
  7. 7.A rectangular field is 100 m long and 80 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A square has a perimeter of 44 cm. What is its area (in square cm)?
  9. 9.A wall is 4 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  10. 10.A rectangular field is 80 m long and 30 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 50 m long and 35 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.The perimeter of a rectangle is 50 cm and its length is 23 cm. What is its width (in cm)?
  14. 14.A square has a perimeter of 20 cm. What is its area (in square cm)?
  15. 15.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.A wall is 6 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A wall is 4 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
  19. 19.The perimeter of a rectangle is 30 cm and its length is 9 cm. What is its width (in cm)?
  20. 20.A wall is 5 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.The perimeter of a rectangle is 20 cm and its length is 8 cm. What is its width (in cm)?
  22. 22.The perimeter of a rectangle is 80 cm and its length is 25 cm. What is its width (in cm)?
  23. 23.A rectangular field is 95 m long and 75 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.From a rectangle 18 cm long and 11 cm wide, a rectangle 6 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.The perimeter of a rectangle is 48 cm and its length is 14 cm. What is its width (in cm)?
  26. 26.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  27. 27.Each side of a square is 3 cm. What is its perimeter (in cm)?
  28. 28.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  29. 29.Each side of a regular hexagon is 15 cm. What is its perimeter (in cm)?
  30. 30.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
  31. 31.A rectangular field is 95 m long and 75 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A square has a perimeter of 52 cm. What is its area (in square cm)?
  34. 34.Each side of a square is 2 cm. What is its perimeter (in cm)?
  35. 35.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.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 ₹)?
  37. 37.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 ₹)?
  38. 38.A wall is 8 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  40. 40.The perimeter of a rectangle is 22 cm and its length is 6 cm. What is its width (in cm)?

Answer key

  1. 95
  2. 17
  3. 125
  4. 9
  5. 72
  6. 27
  7. 8280
  8. 121
  9. 400
  10. 4180
  11. 24
  12. 4080
  13. 2
  14. 25
  15. 1350
  16. 540
  17. 240
  18. 112
  19. 6
  20. 1125
  21. 2
  22. 15
  23. 8500
  24. 156
  25. 10
  26. 84
  27. 12
  28. 2
  29. 90
  30. 100
  31. 3400
  32. 1440
  33. 169
  34. 8
  35. 650
  36. 400
  37. 2025
  38. 720
  39. 3000
  40. 5

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