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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 514 · 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.From a rectangle 11 cm long and 7 cm wide, a rectangle 8 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.From a rectangle 19 cm long and 15 cm wide, a rectangle 7 cm by 9 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  3. 3.The perimeter of a rectangle is 48 cm and its length is 15 cm. What is its width (in cm)?
  4. 4.Each side of a regular hexagon is 9 cm. What is its perimeter (in cm)?
  5. 5.A square has a perimeter of 60 cm. What is its area (in square cm)?
  6. 6.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  7. 7.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  8. 8.A square has a perimeter of 8 cm. What is its area (in square cm)?
  9. 9.Each side of a regular pentagon is 15 cm. What is its perimeter (in cm)?
  10. 10.From a rectangle 15 cm long and 15 cm wide, a rectangle 3 cm by 12 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.Each side of a regular hexagon is 2 cm. What is its perimeter (in cm)?
  12. 12.Each side of a regular pentagon is 23 cm. What is its perimeter (in cm)?
  13. 13.The perimeter of a rectangle is 64 cm and its length is 22 cm. What is its width (in cm)?
  14. 14.A rectangular field is 35 m long and 10 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.A wall is 7 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  16. 16.The perimeter of a rectangle is 58 cm and its length is 16 cm. What is its width (in cm)?
  17. 17.A square has a perimeter of 20 cm. What is its area (in square cm)?
  18. 18.The perimeter of a rectangle is 96 cm and its length is 29 cm. What is its width (in cm)?
  19. 19.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.From a rectangle 11 cm long and 6 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)?
  21. 21.Each side of a square is 9 cm. What is its perimeter (in cm)?
  22. 22.The perimeter of a rectangle is 40 cm and its length is 16 cm. What is its width (in cm)?
  23. 23.From a rectangle 19 cm long and 11 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)?
  24. 24.A rectangular field is 60 m long and 20 m wide. Fencing costs ₹9 per metre. What is the cost of fencing it all around (in ₹)?
  25. 25.A wall is 11 m long and 6 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  26. 26.The perimeter of a rectangle is 34 cm and its length is 11 cm. What is its width (in cm)?
  27. 27.A wall is 3 m long and 5 m high. Painting costs ₹35 per square metre. What is the cost of painting the wall (in ₹)?
  28. 28.A rectangular field is 55 m long and 10 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  29. 29.Each side of a square is 7 cm. What is its perimeter (in cm)?
  30. 30.A wall is 11 m long and 5 m high. Painting costs ₹20 per square metre. What is the cost of painting the wall (in ₹)?
  31. 31.The perimeter of a rectangle is 44 cm and its length is 14 cm. What is its width (in cm)?
  32. 32.The perimeter of a rectangle is 58 cm and its length is 15 cm. What is its width (in cm)?
  33. 33.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  34. 34.A square has a perimeter of 56 cm. What is its area (in square cm)?
  35. 35.From a rectangle 6 cm long and 11 cm wide, a rectangle 3 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 76 cm. What is its area (in square cm)?
  37. 37.A square has a perimeter of 12 cm. What is its area (in square cm)?
  38. 38.A rectangular field is 75 m long and 15 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.A wall is 9 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  40. 40.A wall is 3 m long and 2 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?

Answer key

  1. 61
  2. 222
  3. 9
  4. 54
  5. 225
  6. 48
  7. 12
  8. 4
  9. 75
  10. 189
  11. 12
  12. 115
  13. 10
  14. 1890
  15. 525
  16. 13
  17. 25
  18. 19
  19. 350
  20. 62
  21. 36
  22. 4
  23. 197
  24. 1440
  25. 660
  26. 6
  27. 525
  28. 780
  29. 28
  30. 1100
  31. 8
  32. 14
  33. 42
  34. 196
  35. 57
  36. 361
  37. 9
  38. 1080
  39. 1350
  40. 60

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