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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 691 · 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 square has a perimeter of 28 cm. What is its area (in square cm)?
  2. 2.Each side of a regular octagon is 14 cm. What is its perimeter (in cm)?
  3. 3.The perimeter of a rectangle is 16 cm and its length is 6 cm. What is its width (in cm)?
  4. 4.A wall is 4 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  6. 6.A rectangular field is 80 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  7. 7.Each side of an equilateral triangle is 9 cm. What is its perimeter (in cm)?
  8. 8.The perimeter of a rectangle is 38 cm and its length is 15 cm. What is its width (in cm)?
  9. 9.From a rectangle 9 cm long and 12 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)?
  10. 10.Each side of a square is 17 cm. What is its perimeter (in cm)?
  11. 11.A square has a perimeter of 16 cm. What is its area (in square cm)?
  12. 12.The perimeter of a rectangle is 46 cm and its length is 12 cm. What is its width (in cm)?
  13. 13.The perimeter of a rectangle is 48 cm and its length is 13 cm. What is its width (in cm)?
  14. 14.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
  15. 15.A wall is 4 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.From a rectangle 11 cm long and 10 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)?
  17. 17.The perimeter of a rectangle is 16 cm and its length is 5 cm. What is its width (in cm)?
  18. 18.A wall is 7 m long and 6 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.The perimeter of a rectangle is 28 cm and its length is 11 cm. What is its width (in cm)?
  20. 20.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹24 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.The perimeter of a rectangle is 24 cm and its length is 8 cm. What is its width (in cm)?
  22. 22.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.The perimeter of a rectangle is 86 cm and its length is 29 cm. What is its width (in cm)?
  24. 24.The perimeter of a rectangle is 64 cm and its length is 27 cm. What is its width (in cm)?
  25. 25.A square has a perimeter of 44 cm. What is its area (in square cm)?
  26. 26.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 38 cm and its length is 11 cm. What is its width (in cm)?
  28. 28.A wall is 11 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.From a rectangle 8 cm long and 8 cm wide, a rectangle 1 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.A square has a perimeter of 56 cm. What is its area (in square cm)?
  31. 31.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  32. 32.A rectangular field is 55 m long and 25 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A wall is 8 m long and 4 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.A rectangular field is 80 m long and 75 m wide. Fencing costs ₹12 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.A rectangular field is 80 m long and 25 m wide. Fencing costs ₹23 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.The perimeter of a rectangle is 66 cm and its length is 19 cm. What is its width (in cm)?
  37. 37.The perimeter of a rectangle is 22 cm and its length is 8 cm. What is its width (in cm)?
  38. 38.A rectangular field is 70 m long and 25 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A wall is 4 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A wall is 11 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 49
  2. 112
  3. 2
  4. 240
  5. 42
  6. 1890
  7. 27
  8. 4
  9. 96
  10. 68
  11. 16
  12. 11
  13. 11
  14. 120
  15. 240
  16. 86
  17. 3
  18. 630
  19. 3
  20. 1680
  21. 4
  22. 540
  23. 14
  24. 5
  25. 121
  26. 12
  27. 8
  28. 1980
  29. 62
  30. 196
  31. 2
  32. 1440
  33. 960
  34. 3720
  35. 4830
  36. 14
  37. 3
  38. 3420
  39. 400
  40. 1155

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