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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 404 · 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 80 cm. What is its area (in square cm)?
  2. 2.Each side of a regular octagon is 3 cm. What is its perimeter (in cm)?
  3. 3.The perimeter of a rectangle is 82 cm and its length is 28 cm. What is its width (in cm)?
  4. 4.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.From a rectangle 15 cm long and 7 cm wide, a rectangle 2 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  6. 6.A wall is 6 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A square has a perimeter of 28 cm. What is its area (in square cm)?
  8. 8.A rectangular field is 55 m long and 20 m wide. Fencing costs ₹7 per metre. What is the cost of fencing it all around (in ₹)?
  9. 9.A square has a perimeter of 20 cm. What is its area (in square cm)?
  10. 10.A square has a perimeter of 32 cm. What is its area (in square cm)?
  11. 11.Each side of a square is 8 cm. What is its perimeter (in cm)?
  12. 12.The perimeter of a rectangle is 34 cm and its length is 11 cm. What is its width (in cm)?
  13. 13.A wall is 9 m long and 2 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  14. 14.A square has a perimeter of 8 cm. What is its area (in square cm)?
  15. 15.Each side of an equilateral triangle is 15 cm. What is its perimeter (in cm)?
  16. 16.A wall is 4 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.A wall is 7 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A rectangular field is 30 m long and 10 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A square has a perimeter of 12 cm. What is its area (in square cm)?
  20. 20.Each side of a regular octagon is 19 cm. What is its perimeter (in cm)?
  21. 21.A square has a perimeter of 76 cm. What is its area (in square cm)?
  22. 22.A rectangular field is 50 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  23. 23.A wall is 6 m long and 3 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  24. 24.A square has a perimeter of 44 cm. What is its area (in square cm)?
  25. 25.Each side of a regular octagon is 23 cm. What is its perimeter (in cm)?
  26. 26.Each side of a square is 20 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  28. 28.A wall is 10 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.From a rectangle 10 cm long and 6 cm wide, a rectangle 8 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.The perimeter of a rectangle is 98 cm and its length is 26 cm. What is its width (in cm)?
  32. 32.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 ₹)?
  33. 33.The perimeter of a rectangle is 14 cm and its length is 5 cm. What is its width (in cm)?
  34. 34.Each side of a square is 11 cm. What is its perimeter (in cm)?
  35. 35.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
  36. 36.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  37. 37.A wall is 6 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.A wall is 7 m long and 3 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  39. 39.From a rectangle 14 cm long and 8 cm wide, a rectangle 4 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.A wall is 6 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 400
  2. 24
  3. 13
  4. 1620
  5. 101
  6. 900
  7. 49
  8. 1050
  9. 25
  10. 64
  11. 32
  12. 6
  13. 360
  14. 4
  15. 45
  16. 600
  17. 140
  18. 2000
  19. 9
  20. 152
  21. 361
  22. 780
  23. 540
  24. 121
  25. 184
  26. 80
  27. 4
  28. 800
  29. 630
  30. 52
  31. 23
  32. 200
  33. 2
  34. 44
  35. 114
  36. 78
  37. 120
  38. 525
  39. 88
  40. 180

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