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The Fencing Problem 'A farmer has exactly 1000m of fencing and wants to fence off a plot of land. She is not concerned about the shape of the plot, but it must have a perimeter of 1000m she wants to fence of the plot of land, which contains the maximum area investigate the shape, or shapes, that could be used to fence in the maximum area using exactly 1000m' To investigate this problem I chose to go through the shapes starting from the least number of sides, first choosing a triangle. At first we drew out 6-7 isosceles triangles and worked out the area for each. The area of a triangle is 1/2(base*vertical height). To work out the vertical height we split the isosceles triangle into half and worked out the length of that side using Pythagoras. We then used this to work out the area. A B C In triangle...

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