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The Fencing Problem
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| Submitted: Thu Jul 11 2002
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The Fencing Problem We are told that a farmer has exactly 1000 metres of fencing with which she wishes to fence off a plot of land. The shape of the fence doesn't concern her, however what she does wish to do is fence off the plot of land which contains the maximum area. Therefore the point of this investigation is to investigate the shape, or shapes of the plot of land that have the maximum area. I am going to start my investigation looking at simple 4-sided shapes (the rectangles), because there are relatively easy shapes in which to find the area. I will look at special case 4-sided shapes (parallelograms and trapeziums) later if necessary. 4-Sided Shapes For a square I know that all sides are equal and therefore the length of each side must be 1000/4, if the perimeter is 1000m. To find the area of a simple four-sided shape, you do...
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