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Maths Coursework The Fencing Problem Anthony Lynch Introduction This coursework is a problem involving a farmer. She has 1000 metres of fencing and is looking to create a fenced off area that is as large as possible. She wants to know what shape to arrange the fencing in order to achieve this. I hope to find out which shape would be most appropriate for this use. I will investigate the different formulas and areas of different shapes and compare results to come to a final conclusion. The Quadrilaterals The Square The only square with a perimeter of 1000 meters, has four sides each being 250 metres in length. Following the formula area = length x width, the area works out to be 62500 m². Conclusion As there is only one square, there is only one area that can be obtained, it is 62500 m². The Rectangle The rectangle is much more complicated, as there are many...

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