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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 518 · 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 square is 7 cm. What is its perimeter (in cm)?
  2. 2.From a rectangle 10 cm long and 14 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.A rectangular field is 95 m long and 70 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.A wall is 6 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
  6. 6.The perimeter of a rectangle is 80 cm and its length is 23 cm. What is its width (in cm)?
  7. 7.Each side of an equilateral triangle is 23 cm. What is its perimeter (in cm)?
  8. 8.A square has a perimeter of 76 cm. What is its area (in square cm)?
  9. 9.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  10. 10.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  11. 11.From a rectangle 15 cm long and 5 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.A rectangular field is 35 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A wall is 11 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A wall is 6 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.Each side of a square is 4 cm. What is its perimeter (in cm)?
  16. 16.Each side of an equilateral triangle is 21 cm. What is its perimeter (in cm)?
  17. 17.A wall is 9 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A rectangular field is 45 m long and 40 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A rectangular field is 40 m long and 15 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.Each side of a regular hexagon is 16 cm. What is its perimeter (in cm)?
  21. 21.A wall is 6 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A rectangular field is 95 m long and 80 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.Each side of a square is 21 cm. What is its perimeter (in cm)?
  24. 24.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  25. 25.A rectangular field is 70 m long and 45 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A wall is 5 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  30. 30.A square has a perimeter of 52 cm. What is its area (in square cm)?
  31. 31.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  32. 32.A wall is 10 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.The perimeter of a rectangle is 34 cm and its length is 13 cm. What is its width (in cm)?
  34. 34.From a rectangle 18 cm long and 5 cm wide, a rectangle 13 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  35. 35.A rectangular field is 90 m long and 15 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
  37. 37.The perimeter of a rectangle is 96 cm and its length is 27 cm. What is its width (in cm)?
  38. 38.A wall is 11 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  40. 40.A square has a perimeter of 24 cm. What is its area (in square cm)?

Answer key

  1. 28
  2. 128
  3. 3300
  4. 540
  5. 24
  6. 17
  7. 69
  8. 361
  9. 144
  10. 45
  11. 63
  12. 2860
  13. 440
  14. 300
  15. 16
  16. 63
  17. 675
  18. 1360
  19. 550
  20. 96
  21. 600
  22. 8050
  23. 84
  24. 30
  25. 3910
  26. 57
  27. 400
  28. 250
  29. 176
  30. 169
  31. 60
  32. 2100
  33. 4
  34. 51
  35. 2520
  36. 3
  37. 21
  38. 1760
  39. 102
  40. 36

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