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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 334 · 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 40 cm and its length is 11 cm. What is its width (in cm)?
  2. 2.A wall is 4 m long and 2 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.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 ₹)?
  4. 4.A wall is 7 m long and 2 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.A square has a perimeter of 32 cm. What is its area (in square cm)?
  6. 6.A wall is 4 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  7. 7.A wall is 6 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  8. 8.From a rectangle 19 cm long and 6 cm wide, a rectangle 9 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.Each side of a square is 13 cm. What is its perimeter (in cm)?
  10. 10.A square has a perimeter of 80 cm. What is its area (in square cm)?
  11. 11.The perimeter of a rectangle is 52 cm and its length is 22 cm. What is its width (in cm)?
  12. 12.A rectangular field is 65 m long and 20 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.A wall is 11 m long and 4 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  15. 15.The perimeter of a rectangle is 66 cm and its length is 25 cm. What is its width (in cm)?
  16. 16.A wall is 10 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.Each side of a regular octagon is 17 cm. What is its perimeter (in cm)?
  18. 18.A rectangular field is 35 m long and 25 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  19. 19.From a rectangle 17 cm long and 6 cm wide, a rectangle 12 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  20. 20.A rectangular field is 40 m long and 35 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  21. 21.A wall is 8 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  22. 22.Each side of a square is 18 cm. What is its perimeter (in cm)?
  23. 23.A square has a perimeter of 36 cm. What is its area (in square cm)?
  24. 24.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  25. 25.A rectangular field is 85 m long and 55 m wide. Fencing costs ₹13 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.A square has a perimeter of 48 cm. What is its area (in square cm)?
  27. 27.A rectangular field is 70 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.From a rectangle 14 cm long and 11 cm wide, a rectangle 6 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  29. 29.The perimeter of a rectangle is 18 cm and its length is 7 cm. What is its width (in cm)?
  30. 30.Each side of a regular pentagon is 12 cm. What is its perimeter (in cm)?
  31. 31.The perimeter of a rectangle is 90 cm and its length is 29 cm. What is its width (in cm)?
  32. 32.From a rectangle 11 cm long and 13 cm wide, a rectangle 9 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.A wall is 4 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  34. 34.The perimeter of a rectangle is 62 cm and its length is 16 cm. What is its width (in cm)?
  35. 35.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  36. 36.From a rectangle 10 cm long and 10 cm wide, a rectangle 8 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.A rectangular field is 100 m long and 35 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  39. 39.A wall is 3 m long and 2 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A rectangular field is 100 m long and 90 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?

Answer key

  1. 9
  2. 200
  3. 525
  4. 700
  5. 64
  6. 120
  7. 300
  8. 96
  9. 52
  10. 400
  11. 4
  12. 3230
  13. 1980
  14. 1760
  15. 8
  16. 1200
  17. 136
  18. 960
  19. 90
  20. 1500
  21. 240
  22. 72
  23. 81
  24. 4
  25. 3640
  26. 144
  27. 960
  28. 112
  29. 2
  30. 60
  31. 16
  32. 80
  33. 720
  34. 15
  35. 40
  36. 36
  37. 1350
  38. 138
  39. 90
  40. 9500

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