The Fencing Problem
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| Submitted: Thu Jul 11 2002
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The Fencing Problem The problem: A farmer has exactly 1000 metres of fencing, with it she wishes to fence off a plot of level land. She is not concerned about the shape of the plot, but it must have a perimeter of 1000 metres. What she does wish to do is fence of f the plot of land, which contains the maximum area. The investigation: To solve this problem I will investigate two things, different shapes and the same shape but with different figures for its sides. I have decided to begin my investigation by looking at a four sided shapes, rectangles. Rectangles: A rectangle is a shape with four sides and four right angles. It has two parallel vertical sides and two parallel horizontal sides. I will construct four different rectangles. These shapes will all have a perimeter of 1000 metres. Square: As I have only 1000m of fence to use for its perimeter each side...

