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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 221 · 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 12 cm. What is its perimeter (in cm)?
  2. 2.A rectangular field is 100 m long and 95 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A wall is 10 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A wall is 7 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A wall is 3 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.The perimeter of a rectangle is 46 cm and its length is 14 cm. What is its width (in cm)?
  8. 8.From a rectangle 17 cm long and 10 cm wide, a rectangle 6 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  10. 10.A rectangular field is 100 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  11. 11.A square has a perimeter of 12 cm. What is its area (in square cm)?
  12. 12.From a rectangle 10 cm long and 7 cm wide, a rectangle 3 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  13. 13.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 ₹)?
  14. 14.From a rectangle 12 cm long and 8 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)?
  15. 15.The perimeter of a rectangle is 44 cm and its length is 20 cm. What is its width (in cm)?
  16. 16.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  17. 17.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  18. 18.From a rectangle 12 cm long and 5 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  20. 20.A square has a perimeter of 24 cm. What is its area (in square cm)?
  21. 21.The perimeter of a rectangle is 40 cm and its length is 15 cm. What is its width (in cm)?
  22. 22.The perimeter of a rectangle is 26 cm and its length is 7 cm. What is its width (in cm)?
  23. 23.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  24. 24.The perimeter of a rectangle is 66 cm and its length is 25 cm. What is its width (in cm)?
  25. 25.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  26. 26.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  27. 27.Each side of a regular pentagon is 19 cm. What is its perimeter (in cm)?
  28. 28.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
  30. 30.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  31. 31.A wall is 4 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.From a rectangle 8 cm long and 14 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.Each side of an equilateral triangle is 24 cm. What is its perimeter (in cm)?
  35. 35.A rectangular field is 100 m long and 65 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A rectangular field is 75 m long and 30 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A square has a perimeter of 32 cm. What is its area (in square cm)?
  40. 40.The perimeter of a rectangle is 78 cm and its length is 28 cm. What is its width (in cm)?

Answer key

  1. 60
  2. 3510
  3. 750
  4. 350
  5. 90
  6. 800
  7. 9
  8. 140
  9. 132
  10. 5520
  11. 9
  12. 58
  13. 2475
  14. 81
  15. 2
  16. 176
  17. 144
  18. 30
  19. 108
  20. 36
  21. 5
  22. 6
  23. 1980
  24. 8
  25. 4
  26. 56
  27. 95
  28. 3780
  29. 3
  30. 138
  31. 120
  32. 1190
  33. 88
  34. 72
  35. 4290
  36. 1100
  37. 3360
  38. 3450
  39. 64
  40. 11

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