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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 40 · 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 9 m long and 3 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  2. 2.A rectangular field is 65 m long and 50 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  3. 3.A square has a perimeter of 56 cm. What is its area (in square cm)?
  4. 4.A wall is 7 m long and 2 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.Each side of an equilateral triangle is 7 cm. What is its perimeter (in cm)?
  6. 6.The perimeter of a rectangle is 66 cm and its length is 30 cm. What is its width (in cm)?
  7. 7.A square has a perimeter of 24 cm. What is its area (in square cm)?
  8. 8.From a rectangle 20 cm long and 8 cm wide, a rectangle 18 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.The perimeter of a rectangle is 48 cm and its length is 13 cm. What is its width (in cm)?
  10. 10.A wall is 4 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  11. 11.Each side of a regular hexagon is 22 cm. What is its perimeter (in cm)?
  12. 12.A rectangular field is 80 m long and 65 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.A square has a perimeter of 68 cm. What is its area (in square cm)?
  14. 14.The perimeter of a rectangle is 36 cm and its length is 16 cm. What is its width (in cm)?
  15. 15.A wall is 11 m long and 3 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.The perimeter of a rectangle is 54 cm and its length is 22 cm. What is its width (in cm)?
  17. 17.A wall is 4 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A wall is 4 m long and 6 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  20. 20.A wall is 8 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  21. 21.A square has a perimeter of 40 cm. What is its area (in square cm)?
  22. 22.A wall is 4 m long and 2 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  23. 23.From a rectangle 18 cm long and 5 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.The perimeter of a rectangle is 106 cm and its length is 28 cm. What is its width (in cm)?
  25. 25.The perimeter of a rectangle is 18 cm and its length is 6 cm. What is its width (in cm)?
  26. 26.Each side of a square is 11 cm. What is its perimeter (in cm)?
  27. 27.A rectangular field is 60 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  28. 28.A wall is 5 m long and 5 m high. Painting costs ₹30 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 wall is 6 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.A wall is 6 m long and 4 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.From a rectangle 8 cm long and 5 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.From a rectangle 18 cm long and 7 cm wide, a rectangle 10 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  34. 34.The perimeter of a rectangle is 96 cm and its length is 25 cm. What is its width (in cm)?
  35. 35.From a rectangle 8 cm long and 11 cm wide, a rectangle 2 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  36. 36.A square has a perimeter of 72 cm. What is its area (in square cm)?
  37. 37.Each side of a regular pentagon is 5 cm. What is its perimeter (in cm)?
  38. 38.Each side of a square is 18 cm. What is its perimeter (in cm)?
  39. 39.From a rectangle 10 cm long and 9 cm wide, a rectangle 5 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.A wall is 8 m long and 3 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 1080
  2. 4370
  3. 196
  4. 630
  5. 21
  6. 3
  7. 36
  8. 142
  9. 11
  10. 700
  11. 132
  12. 4060
  13. 289
  14. 2
  15. 660
  16. 5
  17. 180
  18. 480
  19. 54
  20. 240
  21. 100
  22. 280
  23. 80
  24. 25
  25. 3
  26. 44
  27. 2400
  28. 750
  29. 400
  30. 120
  31. 240
  32. 30
  33. 96
  34. 23
  35. 82
  36. 324
  37. 25
  38. 72
  39. 80
  40. 360

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