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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 195 · 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 9 cm. What is its perimeter (in cm)?
  2. 2.From a rectangle 7 cm long and 13 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.Each side of a regular pentagon is 2 cm. What is its perimeter (in cm)?
  4. 4.From a rectangle 8 cm long and 10 cm wide, a rectangle 3 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  5. 5.A square has a perimeter of 76 cm. What is its area (in square cm)?
  6. 6.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
  7. 7.From a rectangle 8 cm long and 6 cm wide, a rectangle 6 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  8. 8.The perimeter of a rectangle is 40 cm and its length is 11 cm. What is its width (in cm)?
  9. 9.A square has a perimeter of 60 cm. What is its area (in square cm)?
  10. 10.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a rectangle is 54 cm and its length is 18 cm. What is its width (in cm)?
  12. 12.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  14. 14.A wall is 10 m long and 5 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A rectangular field is 35 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.The perimeter of a rectangle is 84 cm and its length is 25 cm. What is its width (in cm)?
  17. 17.The perimeter of a rectangle is 36 cm and its length is 14 cm. What is its width (in cm)?
  18. 18.A rectangular field is 50 m long and 10 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A rectangular field is 90 m long and 45 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  21. 21.From a rectangle 7 cm long and 7 cm wide, a rectangle 4 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A wall is 8 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.Each side of a square is 3 cm. What is its perimeter (in cm)?
  24. 24.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 ₹)?
  25. 25.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of a square is 13 cm. What is its perimeter (in cm)?
  27. 27.Each side of a square is 5 cm. What is its perimeter (in cm)?
  28. 28.A square has a perimeter of 44 cm. What is its area (in square cm)?
  29. 29.The perimeter of a rectangle is 38 cm and its length is 11 cm. What is its width (in cm)?
  30. 30.The perimeter of a rectangle is 46 cm and its length is 20 cm. What is its width (in cm)?
  31. 31.From a rectangle 12 cm long and 13 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A rectangular field is 100 m long and 80 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A square has a perimeter of 48 cm. What is its area (in square cm)?
  34. 34.The perimeter of a rectangle is 68 cm and its length is 28 cm. What is its width (in cm)?
  35. 35.The perimeter of a rectangle is 30 cm and its length is 8 cm. What is its width (in cm)?
  36. 36.A square has a perimeter of 8 cm. What is its area (in square cm)?
  37. 37.The perimeter of a rectangle is 58 cm and its length is 21 cm. What is its width (in cm)?
  38. 38.A wall is 5 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.Each side of a square is 17 cm. What is its perimeter (in cm)?
  40. 40.A square has a perimeter of 68 cm. What is its area (in square cm)?

Answer key

  1. 45
  2. 85
  3. 10
  4. 77
  5. 361
  6. 2
  7. 24
  8. 9
  9. 225
  10. 15
  11. 9
  12. 3600
  13. 132
  14. 2500
  15. 770
  16. 17
  17. 4
  18. 1560
  19. 1890
  20. 80
  21. 33
  22. 480
  23. 12
  24. 1260
  25. 1840
  26. 52
  27. 20
  28. 121
  29. 8
  30. 3
  31. 150
  32. 6480
  33. 144
  34. 6
  35. 7
  36. 4
  37. 8
  38. 600
  39. 68
  40. 289

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