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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 459 · 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 8 cm long and 15 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)?
  2. 2.Each side of an equilateral triangle is 4 cm. What is its perimeter (in cm)?
  3. 3.From a rectangle 16 cm long and 11 cm wide, a rectangle 13 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  4. 4.A wall is 10 m long and 6 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  5. 5.From a rectangle 20 cm long and 6 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)?
  6. 6.The perimeter of a rectangle is 32 cm and its length is 12 cm. What is its width (in cm)?
  7. 7.Each side of a regular hexagon is 19 cm. What is its perimeter (in cm)?
  8. 8.A wall is 12 m long and 3 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  9. 9.From a rectangle 20 cm long and 12 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)?
  10. 10.Each side of a regular hexagon is 17 cm. What is its perimeter (in cm)?
  11. 11.A square has a perimeter of 20 cm. What is its area (in square cm)?
  12. 12.A rectangular field is 65 m long and 60 m wide. Fencing costs ₹14 per metre. What is the cost of fencing it all around (in ₹)?
  13. 13.The perimeter of a rectangle is 52 cm and its length is 16 cm. What is its width (in cm)?
  14. 14.A rectangular field is 80 m long and 70 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  15. 15.Each side of a regular octagon is 15 cm. What is its perimeter (in cm)?
  16. 16.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  17. 17.Each side of a regular octagon is 6 cm. What is its perimeter (in cm)?
  18. 18.A square has a perimeter of 80 cm. What is its area (in square cm)?
  19. 19.The perimeter of a rectangle is 80 cm and its length is 25 cm. What is its width (in cm)?
  20. 20.The perimeter of a rectangle is 40 cm and its length is 15 cm. What is its width (in cm)?
  21. 21.A square has a perimeter of 60 cm. What is its area (in square cm)?
  22. 22.From a rectangle 11 cm long and 10 cm wide, a rectangle 6 cm by 6 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  23. 23.From a rectangle 15 cm long and 5 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.Each side of a regular pentagon is 9 cm. What is its perimeter (in cm)?
  25. 25.Each side of a regular hexagon is 11 cm. What is its perimeter (in cm)?
  26. 26.The perimeter of a rectangle is 52 cm and its length is 21 cm. What is its width (in cm)?
  27. 27.Each side of a regular pentagon is 3 cm. What is its perimeter (in cm)?
  28. 28.A square has a perimeter of 36 cm. What is its area (in square cm)?
  29. 29.The perimeter of a rectangle is 36 cm and its length is 13 cm. What is its width (in cm)?
  30. 30.A rectangular field is 50 m long and 30 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.A wall is 12 m long and 5 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  32. 32.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.A rectangular field is 75 m long and 70 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  34. 34.A rectangular field is 95 m long and 90 m wide. Fencing costs ₹5 per metre. What is the cost of fencing it all around (in ₹)?
  35. 35.Each side of a square is 20 cm. What is its perimeter (in cm)?
  36. 36.A wall is 5 m long and 4 m high. Painting costs ₹50 per square metre. What is the cost of painting the wall (in ₹)?
  37. 37.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 ₹)?
  38. 38.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹21 per metre. What is the cost of fencing it all around (in ₹)?
  39. 39.The perimeter of a rectangle is 42 cm and its length is 19 cm. What is its width (in cm)?
  40. 40.Each side of a square is 2 cm. What is its perimeter (in cm)?

Answer key

  1. 111
  2. 12
  3. 163
  4. 1800
  5. 90
  6. 4
  7. 114
  8. 360
  9. 235
  10. 102
  11. 25
  12. 3500
  13. 10
  14. 1500
  15. 120
  16. 4
  17. 48
  18. 400
  19. 15
  20. 5
  21. 225
  22. 74
  23. 73
  24. 45
  25. 66
  26. 5
  27. 15
  28. 81
  29. 5
  30. 800
  31. 2400
  32. 990
  33. 2900
  34. 1850
  35. 80
  36. 1000
  37. 525
  38. 1890
  39. 2
  40. 8

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