The Fencing Problem.
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The Fencing 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 1000m. She wishes to fence off a plot of land, which contains the maximum area. Part One Using rectangles, I will investigate how she may obtain a maximum plot of land, using rectangles with a perimeter of 1000m. I will do this by using calculations to find the area of each different possible perimeter situation. For the first part of the investigation, I will calculate some possible areas for the plot of land, making sure the perimeter is exactly 1000m. For my first examination, I will try quadrilaterals. Side 1: 100m Side 2: 400m Side 1: 200m Side 2: 300m Side 1: 250m Side 2: 250m Side 1: 450m Side2:...


