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The Fencing Problem  

Member rating: 8 out of 10 stars (1 vote) | Words: | Submitted: Thu Jul 11 2002

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The Fencing Problem For the first part of my investigation, I will have to some possible figures for the plot of land, making sure that the perimeter is 1000m. For my first examination, I will start with quadrilaterals. Side 1: 100m Side 2: 400m Side 1: 200m Side 2: 300m Side 1: 250m Side 2: 250m Side 1: 450m Side2: 50m Side 1: 350m Side2: 150m Side 1 Side 2 Area 100 m 400 m Side*side= 40000 m2 250 m 250 m Side*side= 62500 m2 300 m 200 m Side*side= 60000 m2 350 m 150 m Side*side= 52500 m2 450 m 50 m Side*side= 22500 m2 The graph and the table indicate that when the width and the height of a regular quadrilateral have the least difference, the Area is at its greatest. This statement is proven by the square. A square has all the sides the same, so the difference is at the smallest since it is at zero. The Area of the square is the greatest, and this leads me to believe that regular shapes- i.e....

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