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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 669 · 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 19 cm long and 5 cm wide, a rectangle 5 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.A square has a perimeter of 32 cm. What is its area (in square cm)?
  3. 3.From a rectangle 6 cm long and 15 cm wide, a rectangle 3 cm by 11 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  5. 5.A wall is 6 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.Each side of an equilateral triangle is 6 cm. What is its perimeter (in cm)?
  7. 7.A rectangular field is 90 m long and 75 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  8. 8.A square has a perimeter of 40 cm. What is its area (in square cm)?
  9. 9.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  10. 10.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  11. 11.The perimeter of a rectangle is 44 cm and its length is 19 cm. What is its width (in cm)?
  12. 12.A rectangular field is 90 m long and 20 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.Each side of a regular octagon is 20 cm. What is its perimeter (in cm)?
  14. 14.A rectangular field is 100 m long and 40 m wide. Fencing costs ₹19 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.Each side of a regular hexagon is 23 cm. What is its perimeter (in cm)?
  16. 16.The perimeter of a rectangle is 30 cm and its length is 13 cm. What is its width (in cm)?
  17. 17.Each side of a regular octagon is 12 cm. What is its perimeter (in cm)?
  18. 18.From a rectangle 14 cm long and 12 cm wide, a rectangle 7 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  19. 19.A wall is 12 m long and 3 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  20. 20.From a rectangle 8 cm long and 9 cm wide, a rectangle 1 cm by 4 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  21. 21.The perimeter of a rectangle is 68 cm and its length is 23 cm. What is its width (in cm)?
  22. 22.Each side of a regular octagon is 21 cm. What is its perimeter (in cm)?
  23. 23.From a rectangle 10 cm long and 7 cm wide, a rectangle 2 cm by 1 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 32 cm and its length is 13 cm. What is its width (in cm)?
  25. 25.A square has a perimeter of 64 cm. What is its area (in square cm)?
  26. 26.A square has a perimeter of 16 cm. What is its area (in square cm)?
  27. 27.The perimeter of a rectangle is 48 cm and its length is 19 cm. What is its width (in cm)?
  28. 28.A wall is 8 m long and 5 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  29. 29.From a rectangle 8 cm long and 9 cm wide, a rectangle 2 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  30. 30.The perimeter of a rectangle is 40 cm and its length is 16 cm. What is its width (in cm)?
  31. 31.The perimeter of a rectangle is 58 cm and its length is 23 cm. What is its width (in cm)?
  32. 32.From a rectangle 14 cm long and 9 cm wide, a rectangle 3 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  33. 33.From a rectangle 15 cm long and 6 cm wide, a rectangle 3 cm by 1 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 27 cm. What is its width (in cm)?
  35. 35.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)?
  36. 36.From a rectangle 11 cm long and 8 cm wide, a rectangle 9 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  37. 37.A wall is 7 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.From a rectangle 6 cm long and 6 cm wide, a rectangle 4 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  39. 39.Each side of a square is 21 cm. What is its perimeter (in cm)?
  40. 40.A square has a perimeter of 20 cm. What is its area (in square cm)?

Answer key

  1. 90
  2. 64
  3. 57
  4. 48
  5. 360
  6. 18
  7. 2640
  8. 100
  9. 30
  10. 78
  11. 3
  12. 3960
  13. 160
  14. 5320
  15. 138
  16. 2
  17. 96
  18. 147
  19. 1800
  20. 68
  21. 11
  22. 168
  23. 68
  24. 3
  25. 256
  26. 16
  27. 5
  28. 600
  29. 62
  30. 4
  31. 6
  32. 108
  33. 87
  34. 21
  35. 52
  36. 61
  37. 210
  38. 24
  39. 84
  40. 25

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