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The Fencing Problem Aim A farmer wants to fence off a plot of level land with exactly 1000m of fencing. The farmer is not worried about the shape of the plot but the perimeter has to be 1000m. So it could be a shape with as many sides or as little sides as possible. The aim is to find the plot, which contains the maximum area. I am going to investigate different shapes that could be used to fence the plot using exactly 1000 metres of fencing each time to obtain the maximum area. Hypothesis My prediction is that the shape that will give me the maximum area with a 1000m perimeter/circumference is a regular shape. I also think that the shape will be a circle. I believe this the shape will be a regular because if the shape isn't regular, the angles are not equal and this would mean that some angles would...

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