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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 537 · 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 7 cm. What is its perimeter (in cm)?
  2. 2.A wall is 6 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A square has a perimeter of 20 cm. What is its area (in square cm)?
  4. 4.A square has a perimeter of 52 cm. What is its area (in square cm)?
  5. 5.Each side of a regular pentagon is 6 cm. What is its perimeter (in cm)?
  6. 6.Each side of a regular octagon is 7 cm. What is its perimeter (in cm)?
  7. 7.The perimeter of a rectangle is 24 cm and its length is 10 cm. What is its width (in cm)?
  8. 8.A rectangular field is 55 m long and 50 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
  10. 10.A square has a perimeter of 40 cm. What is its area (in square cm)?
  11. 11.A wall is 3 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  12. 12.A rectangular field is 60 m long and 45 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A square has a perimeter of 12 cm. What is its area (in square cm)?
  14. 14.A rectangular field is 90 m long and 85 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.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 ₹)?
  16. 16.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  17. 17.From a rectangle 14 cm long and 8 cm wide, a rectangle 8 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  18. 18.A wall is 10 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A wall is 4 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A rectangular field is 50 m long and 45 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.From a rectangle 13 cm long and 6 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.A wall is 7 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.The perimeter of a rectangle is 40 cm and its length is 16 cm. What is its width (in cm)?
  25. 25.From a rectangle 14 cm long and 6 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  26. 26.Each side of a square is 17 cm. What is its perimeter (in cm)?
  27. 27.A square has a perimeter of 16 cm. What is its area (in square cm)?
  28. 28.From a rectangle 6 cm long and 7 cm wide, a rectangle 1 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.The perimeter of a rectangle is 34 cm and its length is 11 cm. What is its width (in cm)?
  30. 30.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  31. 31.Each side of a square is 16 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A rectangular field is 40 m long and 30 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  35. 35.A wall is 5 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  36. 36.The perimeter of a rectangle is 30 cm and its length is 12 cm. What is its width (in cm)?
  37. 37.The perimeter of a rectangle is 88 cm and its length is 23 cm. What is its width (in cm)?
  38. 38.A square has a perimeter of 72 cm. What is its area (in square cm)?
  39. 39.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  40. 40.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?

Answer key

  1. 35
  2. 720
  3. 25
  4. 169
  5. 30
  6. 56
  7. 2
  8. 5250
  9. 3
  10. 100
  11. 630
  12. 3150
  13. 9
  14. 6300
  15. 90
  16. 39
  17. 80
  18. 2000
  19. 960
  20. 800
  21. 3800
  22. 51
  23. 1470
  24. 4
  25. 80
  26. 68
  27. 16
  28. 41
  29. 6
  30. 12
  31. 64
  32. 1190
  33. 3080
  34. 10
  35. 1050
  36. 3
  37. 21
  38. 324
  39. 66
  40. 114

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