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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 125 · 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 52 cm and its length is 14 cm. What is its width (in cm)?
  2. 2.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 ₹)?
  3. 3.Each side of a regular octagon is 10 cm. What is its perimeter (in cm)?
  4. 4.A wall is 4 m long and 3 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A rectangular field is 20 m long and 15 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  6. 6.The perimeter of a rectangle is 48 cm and its length is 14 cm. What is its width (in cm)?
  7. 7.Each side of a square is 18 cm. What is its perimeter (in cm)?
  8. 8.A square has a perimeter of 64 cm. What is its area (in square cm)?
  9. 9.A square has a perimeter of 24 cm. What is its area (in square cm)?
  10. 10.A wall is 7 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.Each side of a square is 22 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  14. 14.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  15. 15.A wall is 6 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.Each side of an equilateral triangle is 13 cm. What is its perimeter (in cm)?
  17. 17.Each side of a regular hexagon is 21 cm. What is its perimeter (in cm)?
  18. 18.A rectangular field is 85 m long and 20 m wide. Fencing costs ₹20 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.A rectangular field is 100 m long and 30 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.The perimeter of a rectangle is 38 cm and its length is 12 cm. What is its width (in cm)?
  21. 21.From a rectangle 13 cm long and 15 cm wide, a rectangle 4 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  22. 22.A wall is 4 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.Each side of a regular octagon is 22 cm. What is its perimeter (in cm)?
  24. 24.The perimeter of a rectangle is 40 cm and its length is 14 cm. What is its width (in cm)?
  25. 25.A wall is 5 m long and 6 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.Each side of a regular octagon is 8 cm. What is its perimeter (in cm)?
  27. 27.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  28. 28.A wall is 8 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  30. 30.From a rectangle 11 cm long and 10 cm wide, a rectangle 2 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  31. 31.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  32. 32.A square has a perimeter of 36 cm. What is its area (in square cm)?
  33. 33.A square has a perimeter of 56 cm. What is its area (in square cm)?
  34. 34.Each side of a regular hexagon is 8 cm. What is its perimeter (in cm)?
  35. 35.Each side of a square is 5 cm. What is its perimeter (in cm)?
  36. 36.A square has a perimeter of 80 cm. What is its area (in square cm)?
  37. 37.A wall is 12 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.A square has a perimeter of 16 cm. What is its area (in square cm)?
  39. 39.A wall is 3 m long and 5 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.From a rectangle 19 cm long and 5 cm wide, a rectangle 14 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?

Answer key

  1. 12
  2. 525
  3. 80
  4. 420
  5. 1400
  6. 10
  7. 72
  8. 256
  9. 36
  10. 560
  11. 88
  12. 750
  13. 51
  14. 4
  15. 1200
  16. 39
  17. 126
  18. 4200
  19. 2600
  20. 7
  21. 163
  22. 120
  23. 176
  24. 6
  25. 1350
  26. 64
  27. 36
  28. 1000
  29. 138
  30. 96
  31. 980
  32. 81
  33. 196
  34. 48
  35. 20
  36. 400
  37. 480
  38. 16
  39. 375
  40. 53

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