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The Fencing Problem
Member rating: No Rating | Words: | Submitted: Thu Jul 11 2002
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The Fencing Problem A farmer has the need to enclose an area of land with 1,000 metres of fencing. He has to do so trying to make sure that he has enclosed the largest possible area of land. Therefore I will be investigating the shapes with the largest area that could be used to fence with 1000m of fencing. I will start by investigating different polygons. A polygon is a many sided shaped of strait lines which will be easy to measure, giving me more accurate results. These polygons will have a perimeter of 1000m. In this first section I will investigate the first set of polygons. Shape Equation Total area Perimeter Equilateral: 333.3+333.3+333.3 24,052² 1000÷3= 333.3 288.64 x (333.3÷2) =48,103² x 2 To find the area of this regular triangle I must: * Divide 1000 which is the perimeter by 3 which is the number of the polygon's sides to give me 333.3 * Find the vertical height. To do this I use Pythagoras...
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