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Class 6 Maths Worksheet: Perimeter and Area

Maths worksheets lesson 45: Perimeter and area: fencing, painting and cut-outs · Set 539 · 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.Each side of an equilateral triangle is 16 cm. What is its perimeter (in cm)?
  2. 2.A square has a perimeter of 64 cm. What is its area (in square cm)?
  3. 3.Each side of a regular octagon is 5 cm. What is its perimeter (in cm)?
  4. 4.A square has a perimeter of 16 cm. What is its area (in square cm)?
  5. 5.A wall is 6 m long and 5 m high. Painting costs ₹30 per square metre. What is the cost of painting the wall (in ₹)?
  6. 6.Each side of an equilateral triangle is 17 cm. What is its perimeter (in cm)?
  7. 7.The perimeter of a rectangle is 26 cm and its length is 8 cm. What is its width (in cm)?
  8. 8.Each side of a regular hexagon is 3 cm. What is its perimeter (in cm)?
  9. 9.A square has a perimeter of 12 cm. What is its area (in square cm)?
  10. 10.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 ₹)?
  11. 11.Each side of a regular pentagon is 8 cm. What is its perimeter (in cm)?
  12. 12.Each side of an equilateral triangle is 14 cm. What is its perimeter (in cm)?
  13. 13.A rectangular field is 65 m long and 45 m wide. Fencing costs ₹6 per metre. What is the cost of fencing it all around (in ₹)?
  14. 14.The perimeter of a rectangle is 52 cm and its length is 24 cm. What is its width (in cm)?
  15. 15.The perimeter of a rectangle is 18 cm and its length is 5 cm. What is its width (in cm)?
  16. 16.From a rectangle 19 cm long and 14 cm wide, a rectangle 3 cm by 8 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  17. 17.A wall is 5 m long and 2 m high. Painting costs ₹40 per square metre. What is the cost of painting the wall (in ₹)?
  18. 18.A wall is 5 m long and 5 m high. Painting costs ₹45 per square metre. What is the cost of painting the wall (in ₹)?
  19. 19.A rectangular field is 25 m long and 10 m wide. Fencing costs ₹17 per metre. What is the cost of fencing it all around (in ₹)?
  20. 20.A square has a perimeter of 76 cm. What is its area (in square cm)?
  21. 21.A rectangular field is 85 m long and 45 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  22. 22.Each side of a regular hexagon is 18 cm. What is its perimeter (in cm)?
  23. 23.From a rectangle 9 cm long and 12 cm wide, a rectangle 6 cm by 2 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  24. 24.From a rectangle 16 cm long and 5 cm wide, a rectangle 14 cm by 1 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  25. 25.Each side of a square is 14 cm. What is its perimeter (in cm)?
  26. 26.A square has a perimeter of 20 cm. What is its area (in square cm)?
  27. 27.Each side of a square is 11 cm. What is its perimeter (in cm)?
  28. 28.Each side of a regular hexagon is 5 cm. What is its perimeter (in cm)?
  29. 29.From a rectangle 16 cm long and 15 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)?
  30. 30.Each side of a regular hexagon is 13 cm. What is its perimeter (in cm)?
  31. 31.A square has a perimeter of 56 cm. What is its area (in square cm)?
  32. 32.The perimeter of a rectangle is 80 cm and its length is 28 cm. What is its width (in cm)?
  33. 33.Each side of an equilateral triangle is 5 cm. What is its perimeter (in cm)?
  34. 34.Each side of a square is 21 cm. What is its perimeter (in cm)?
  35. 35.A rectangular field is 90 m long and 50 m wide. Fencing costs ₹25 per metre. What is the cost of fencing it all around (in ₹)?
  36. 36.The perimeter of a rectangle is 70 cm and its length is 18 cm. What is its width (in cm)?
  37. 37.A wall is 6 m long and 6 m high. Painting costs ₹25 per square metre. What is the cost of painting the wall (in ₹)?
  38. 38.Each side of a square is 3 cm. What is its perimeter (in cm)?
  39. 39.From a rectangle 16 cm long and 10 cm wide, a rectangle 6 cm by 3 cm is cut out of one corner. What is the area of the shape left (in square cm)?
  40. 40.The perimeter of a rectangle is 92 cm and its length is 30 cm. What is its width (in cm)?

Answer key

  1. 48
  2. 256
  3. 40
  4. 16
  5. 900
  6. 51
  7. 5
  8. 18
  9. 9
  10. 600
  11. 40
  12. 42
  13. 1320
  14. 2
  15. 4
  16. 242
  17. 400
  18. 1125
  19. 1190
  20. 361
  21. 6500
  22. 108
  23. 96
  24. 66
  25. 56
  26. 25
  27. 44
  28. 30
  29. 204
  30. 78
  31. 196
  32. 12
  33. 15
  34. 84
  35. 7000
  36. 17
  37. 900
  38. 12
  39. 142
  40. 16

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