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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 450 · 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.A wall is 8 m long and 4 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.The perimeter of a rectangle is 28 cm and its length is 11 cm. What is its width (in cm)?
  3. 3.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  4. 4.The perimeter of a rectangle is 46 cm and its length is 14 cm. What is its width (in cm)?
  5. 5.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 ₹)?
  6. 6.A rectangular field is 65 m long and 45 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.The perimeter of a rectangle is 68 cm and its length is 24 cm. What is its width (in cm)?
  8. 8.The perimeter of a rectangle is 94 cm and its length is 26 cm. What is its width (in cm)?
  9. 9.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 ₹)?
  10. 10.A square has a perimeter of 16 cm. What is its area (in square cm)?
  11. 11.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A wall is 9 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A wall is 5 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  16. 16.Each side of a regular pentagon is 20 cm. What is its perimeter (in cm)?
  17. 17.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  18. 18.Each side of a square is 13 cm. What is its perimeter (in cm)?
  19. 19.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  20. 20.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  21. 21.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  22. 22.The perimeter of a rectangle is 94 cm and its length is 30 cm. What is its width (in cm)?
  23. 23.From a rectangle 13 cm long and 8 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.Each side of a regular pentagon is 16 cm. What is its perimeter (in cm)?
  25. 25.Each side of a regular hexagon is 14 cm. What is its perimeter (in cm)?
  26. 26.Each side of a regular hexagon is 24 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 72 cm and its length is 27 cm. What is its width (in cm)?
  28. 28.A wall is 5 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A square has a perimeter of 80 cm. What is its area (in square cm)?
  30. 30.A rectangular field is 20 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.From a rectangle 11 cm long and 11 cm wide, a rectangle 7 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  32. 32.A wall is 8 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  33. 33.Each side of a square is 20 cm. What is its perimeter (in cm)?
  34. 34.Each side of an equilateral triangle is 19 cm. What is its perimeter (in cm)?
  35. 35.Each side of a square is 6 cm. What is its perimeter (in cm)?
  36. 36.Each side of an equilateral triangle is 8 cm. What is its perimeter (in cm)?
  37. 37.A square has a perimeter of 20 cm. What is its area (in square cm)?
  38. 38.From a rectangle 18 cm long and 11 cm wide, a rectangle 11 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.From a rectangle 12 cm long and 12 cm wide, a rectangle 10 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?

Answer key

  1. 1120
  2. 3
  3. 2700
  4. 9
  5. 1470
  6. 1320
  7. 10
  8. 21
  9. 900
  10. 16
  11. 102
  12. 3300
  13. 810
  14. 200
  15. 4000
  16. 100
  17. 64
  18. 52
  19. 160
  20. 66
  21. 4
  22. 17
  23. 83
  24. 80
  25. 84
  26. 144
  27. 9
  28. 525
  29. 400
  30. 480
  31. 114
  32. 560
  33. 80
  34. 57
  35. 24
  36. 24
  37. 25
  38. 99
  39. 134
  40. 152

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