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Fence Investigation
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(16 votes)
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| Submitted: Thu Jul 11 2002
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A farmer has exactly 1000 metres 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. So it could be: or anything else with a perimeter (or circumference) of 1000m. She wishes to fence off 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 1000 metres of fencing each time. First I will work out the largest area of regular quadrilaterals with angles of 90° because it is the simplest shape to work out the area. 1) This quadrilateral has sides of 250m and is know as a square. A square has four equal sides. To work out the length of side, you divide the size of the perimeter by 4. 1000m ÷ 4 = 250m. To work...
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