An Area Problem

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An Area Problem

• An Investigation

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• An Area Problem.
• A farmer has 320m of fencing. He wishes to use
  this fencing to enclose a small part of his large
  field for his sheep and gives some thought to the
  shape designs below.
• a) Square area
  b) Rectangular area.

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• c) Regular pentagon
  d) Hexagon
• e) Regular octagon
  f) Circular field

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• f) Quarter circle field
  g) Parallelogram shape
• For each shape carry out an investigation and see
  if you can determine the largest possible area
  in each case. Record your results in the table
  below.
• Is there another shape which might give a bigger
  area with the 320m of fencing available?

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• Solution
• Square - 6400 Rectangle 6400
• Pentagon 7040 Hexagon 7380.8 Octagon
  7728 Circle - 8148.7 Quarter Circle
  6307.7
• Parallelogram 6400.