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The Fencing Problem A farmer has exactly 1000 metres of fencing, with it she wishes 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. So it could be: Or anything else with a perimeter (or circumference) of 1000m. In this investigation all angles drawn to scale. All sides are to the scale of 50m:1cm What she does wish to do is fence off the plot of land which contains the MAXIMUM area. Part 1 By using scale drawings, or a closed loop of string, or otherwise examine some possible figures for the plot of land. In each case ensure that the perimeter is 1000m and obtain the enclosed area. Part 2 Investigate the shape, or shapes of the plot of land which have the maximum area. In order to find out the area of a given shape I need to...

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