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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 15 · 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 14 cm long and 15 cm wide, a rectangle 3 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  2. 2.A wall is 9 m long and 5 m high. Painting costs ₹10 per square metre. What is the cost of painting the wall (in ₹)?
  3. 3.A square has a perimeter of 40 cm. What is its area (in square cm)?
  4. 4.A rectangular field is 95 m long and 60 m wide. Fencing costs ₹11 per metre. What is the cost of fencing it all around (in ₹)?
  5. 5.From a rectangle 7 cm long and 7 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)?
  6. 6.The perimeter of a rectangle is 90 cm and its length is 30 cm. What is its width (in cm)?
  7. 7.Each side of a regular hexagon is 7 cm. What is its perimeter (in cm)?
  8. 8.From a rectangle 6 cm long and 11 cm wide, a rectangle 1 cm by 7 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  9. 9.From a rectangle 7 cm long and 8 cm wide, a rectangle 1 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  10. 10.From a rectangle 19 cm long and 9 cm wide, a rectangle 5 cm by 5 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  11. 11.A square has a perimeter of 12 cm. What is its area (in square cm)?
  12. 12.Each side of a square is 4 cm. What is its perimeter (in cm)?
  13. 13.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  14. 14.A square has a perimeter of 56 cm. What is its area (in square cm)?
  15. 15.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  16. 16.A wall is 7 m long and 2 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  17. 17.Each side of an equilateral triangle is 2 cm. What is its perimeter (in cm)?
  18. 18.A wall is 10 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.Each side of a square is 8 cm. What is its perimeter (in cm)?
  20. 20.A square has a perimeter of 20 cm. What is its area (in square cm)?
  21. 21.The perimeter of a rectangle is 66 cm and its length is 25 cm. What is its width (in cm)?
  22. 22.Each side of a regular hexagon is 6 cm. What is its perimeter (in cm)?
  23. 23.A square has a perimeter of 24 cm. What is its area (in square cm)?
  24. 24.A square has a perimeter of 32 cm. What is its area (in square cm)?
  25. 25.A rectangular field is 95 m long and 50 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  26. 26.Each side of an equilateral triangle is 22 cm. What is its perimeter (in cm)?
  27. 27.The perimeter of a rectangle is 64 cm and its length is 28 cm. What is its width (in cm)?
  28. 28.From a rectangle 16 cm long and 7 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)?
  29. 29.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹8 per metre. What is the cost of fencing it all around (in ₹)?
  30. 30.A rectangular field is 40 m long and 10 m wide. Fencing costs ₹18 per metre. What is the cost of fencing it all around (in ₹)?
  31. 31.Each side of a regular octagon is 18 cm. What is its perimeter (in cm)?
  32. 32.A rectangular field is 25 m long and 20 m wide. Fencing costs ₹10 per metre. What is the cost of fencing it all around (in ₹)?
  33. 33.The perimeter of a rectangle is 20 cm and its length is 6 cm. What is its width (in cm)?
  34. 34.A wall is 3 m long and 4 m high. Painting costs ₹15 per square metre. What is the cost of painting the wall (in ₹)?
  35. 35.A rectangular field is 100 m long and 65 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.A rectangular field is 30 m long and 15 m wide. Fencing costs ₹16 per metre. What is the cost of fencing it all around (in ₹)?
  37. 37.A rectangular field is 100 m long and 25 m wide. Fencing costs ₹22 per metre. What is the cost of fencing it all around (in ₹)?
  38. 38.Each side of a regular octagon is 4 cm. What is its perimeter (in cm)?
  39. 39.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  40. 40.The perimeter of a rectangle is 22 cm and its length is 7 cm. What is its width (in cm)?

Answer key

  1. 204
  2. 450
  3. 100
  4. 3410
  5. 45
  6. 15
  7. 42
  8. 59
  9. 51
  10. 146
  11. 9
  12. 16
  13. 18
  14. 196
  15. 40
  16. 420
  17. 6
  18. 600
  19. 32
  20. 25
  21. 8
  22. 36
  23. 36
  24. 64
  25. 4930
  26. 66
  27. 4
  28. 100
  29. 560
  30. 1800
  31. 144
  32. 900
  33. 4
  34. 180
  35. 5280
  36. 1440
  37. 5500
  38. 32
  39. 78
  40. 4

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