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Maths Coursework: The Fencing Problem A farmer has exactly 1000 metres of fencing, with it the farmer wishes to fence off a level plot of land. What the farmer does wish to do is fence off the plot of land which contains the maximum area. Introduction I have been given an investigation to examine which shape with a perimeter of 1000m will have the biggest area. By using scale drawings, or a closed loop of string, I'm going to look at some possible figures for the plot of land. In each case I'm going to ensure that the perimeter is 1000m and obtain the enclosed area. I'll then go onto further investigate the shape or shapes which have the maximum area and see whether there is a pattern within the concept of the tangent of an angle and the area of the shape. Triangles I'll begin by investigating the three - sided shapes. They consist of triangles...

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