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The Fencing Problem
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| Submitted: Thu Jul 11 2002
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Nick Murphy The Fencing Problem Mathematics GCSE In this piece of coursework I will be addressing the Fencing Problem. This is: A farmer has exactly 1000 meters 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 1000m. What she does wish to do is fence off the plot of land, which contains the maximum area. Quadrilaterals I will start by looking at quadrilaterals. 50m 50 x 450 = 22500mē 45Om 400m 100m 100 x 400 = 40000mē 350m 150m 150 x 350 = 52500mē 200m 300m 200 x 300 = 60000mē 250m 250m 250 x 250 = 62500mē 250m As you can see I have drawn a large specturm of rectangles. I have noticed that the closer the size of the two measurements, the larger the area. Also,...
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