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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 266 · 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.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
  2. 2.Each side of a regular hexagon is 25 cm. What is its perimeter (in cm)?
  3. 3.A wall is 10 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  4. 4.A wall is 3 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.From a rectangle 17 cm long and 5 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.From a rectangle 10 cm long and 7 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)?
  7. 7.Each side of a square is 6 cm. What is its perimeter (in cm)?
  8. 8.From a rectangle 6 cm long and 8 cm wide, a rectangle 3 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.The perimeter of a rectangle is 80 cm and its length is 21 cm. What is its width (in cm)?
  10. 10.A wall is 8 m long and 6 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.From a rectangle 8 cm long and 6 cm wide, a rectangle 6 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  12. 12.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
  13. 13.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 ₹)?
  14. 14.Each side of a regular pentagon is 17 cm. What is its perimeter (in cm)?
  15. 15.A rectangular field is 95 m long and 10 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.Each side of a regular pentagon is 24 cm. What is its perimeter (in cm)?
  17. 17.A square has a perimeter of 16 cm. What is its area (in square cm)?
  18. 18.A wall is 7 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.The perimeter of a rectangle is 70 cm and its length is 18 cm. What is its width (in cm)?
  20. 20.The perimeter of a rectangle is 86 cm and its length is 23 cm. What is its width (in cm)?
  21. 21.A wall is 12 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.A square has a perimeter of 60 cm. What is its area (in square cm)?
  23. 23.A square has a perimeter of 24 cm. What is its area (in square cm)?
  24. 24.Each side of a square is 11 cm. What is its perimeter (in cm)?
  25. 25.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  26. 26.A square has a perimeter of 36 cm. What is its area (in square cm)?
  27. 27.Each side of a square is 2 cm. What is its perimeter (in cm)?
  28. 28.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.A square has a perimeter of 40 cm. What is its area (in square cm)?
  30. 30.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.The perimeter of a rectangle is 48 cm and its length is 17 cm. What is its width (in cm)?
  32. 32.From a rectangle 14 cm long and 10 cm wide, a rectangle 9 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.A rectangular field is 70 m long and 15 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A rectangular field is 95 m long and 85 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.Each side of a square is 5 cm. What is its perimeter (in cm)?
  36. 36.From a rectangle 10 cm long and 8 cm wide, a rectangle 7 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.A rectangular field is 70 m long and 40 m wide. Fencing costs ₹15 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.A square has a perimeter of 44 cm. What is its area (in square cm)?
  39. 39.A square has a perimeter of 20 cm. What is its area (in square cm)?
  40. 40.A rectangular field is 70 m long and 50 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 2
  2. 150
  3. 1050
  4. 150
  5. 65
  6. 64
  7. 24
  8. 39
  9. 19
  10. 1680
  11. 42
  12. 80
  13. 630
  14. 85
  15. 3360
  16. 120
  17. 16
  18. 420
  19. 17
  20. 20
  21. 1440
  22. 225
  23. 36
  24. 44
  25. 80
  26. 81
  27. 8
  28. 1320
  29. 100
  30. 900
  31. 7
  32. 68
  33. 1360
  34. 4320
  35. 20
  36. 38
  37. 3300
  38. 121
  39. 25
  40. 2640

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