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Investigate the shapes that could be used to fence in the maximum area using exactly 1000m of fencing each time.
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Maths Coursework For this investigation, I will be looking at different shapes, and the areas the different shapes give. The exact question is: 'A farmer has exactly 1000m of fencing, and wants to fence off a plot of level land. She is not concerned about the shape of the plot, but it must have a perimeter of 1000m. She wishes to fence of the area of land, which contains the maximum area. Investigate the shapes that could be used to fence in the maximum area using exactly 1000m of fencing each time. I will show the working in the form of formulas, putting results in tables, and then transfer the tables into graphs. Once this is completed, I will draw up a conclusion. Prediction My prediction is that as the number of sides increase, as will the area. I think this as the area of a rectangle, or any other quadrilateral, will have a bigger...
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