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The Fencing Problem We have been asked to find out which polygons, which all have the perimeter of 1000 metres, and have the largest area. This will be done on the computer programme Microsoft Excel, as I can produce graphs to show the results. Areas of Irregular Polygons Firstly, with an irregular triangle, you do not know the height of the triangle so; therefore, it has to be worked out. To explain how to work out the height of a triangle, I will use the example values of x=400 and the base=200. To work out the height of the triangle we can use the Pythagoras theorem. If we split the triangle in half, we can create 2 right-angled triangles, which can then be used to find the height. The base of the right-angled triangles produced is now 100m with the sides staying 400m. In the working below, h=height h= V4002-1002 h=V160000-10000 h=387.2983346 The formula that I will...

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