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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 665 · 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 8 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 90 m long and 50 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.The perimeter of a rectangle is 74 cm and its length is 23 cm. What is its width (in cm)?
  4. 4.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  5. 5.From a rectangle 19 cm long and 15 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)?
  6. 6.A rectangular field is 60 m long and 50 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.A wall is 4 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.A wall is 12 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.Each side of a regular octagon is 13 cm. What is its perimeter (in cm)?
  10. 10.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A rectangular field is 65 m long and 35 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  12. 12.Each side of a square is 25 cm. What is its perimeter (in cm)?
  13. 13.From a rectangle 19 cm long and 8 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)?
  14. 14.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  15. 15.A square has a perimeter of 24 cm. What is its area (in square cm)?
  16. 16.A wall is 11 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A rectangular field is 40 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  18. 18.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A square has a perimeter of 32 cm. What is its area (in square cm)?
  20. 20.From a rectangle 10 cm long and 9 cm wide, a rectangle 7 cm by 2 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 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A wall is 5 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.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 ₹)?
  24. 24.Each side of a regular pentagon is 4 cm. What is its perimeter (in cm)?
  25. 25.A square has a perimeter of 64 cm. What is its area (in square cm)?
  26. 26.A wall is 12 m long and 4 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  27. 27.The perimeter of a rectangle is 100 cm and its length is 26 cm. What is its width (in cm)?
  28. 28.A wall is 9 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  30. 30.A rectangular field is 25 m long and 15 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A wall is 7 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A rectangular field is 80 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A wall is 4 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A wall is 6 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A wall is 9 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.A rectangular field is 70 m long and 30 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A square has a perimeter of 48 cm. What is its area (in square cm)?
  39. 39.The perimeter of a rectangle is 20 cm and its length is 7 cm. What is its width (in cm)?
  40. 40.Each side of a regular hexagon is 10 cm. What is its perimeter (in cm)?

Answer key

  1. 40
  2. 1680
  3. 14
  4. 7
  5. 265
  6. 1320
  7. 160
  8. 1260
  9. 104
  10. 450
  11. 3600
  12. 100
  13. 124
  14. 18
  15. 36
  16. 220
  17. 2160
  18. 1920
  19. 64
  20. 76
  21. 1350
  22. 1250
  23. 3570
  24. 20
  25. 256
  26. 2160
  27. 24
  28. 630
  29. 54
  30. 1040
  31. 420
  32. 1800
  33. 280
  34. 360
  35. 1250
  36. 1440
  37. 3800
  38. 144
  39. 3
  40. 60

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