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MATHS GSCE COURSEWORK - EDEXCEL 2003 DISPATCH 1 THE FENCING PROBLEM ADNAN YOUNIS YEAR 4-LB THE FENCING PROBLEM The fencing problem requires me to investigate the shape with the maximum area using 1000 metres of fencing. I have decided to start my search on triangles. A triangle being a shape with the minimum sides logically concludes that I begin there, as they are the most simple. From then on I will continue shape by shape as the number of sides increase; quadrilaterals, pentagons etc... The area of a triangle is measured by calculating: 1/2 (BASE * HEIGHT) Therefore if I was to choose the length of the base then the area would be automatically decided by the height of the triangle. The type of triangle which I am going to investigate is the 'isosceles' triangle because as I vary the base, the other two sides would remain equal and this would give...

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