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The fencing problem.
Member rating: No Rating | Words: | Submitted: Mon Mar 15 2004
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The fencing problem Daniel Briney The task A farmer has exactly 1000m of fencing; with it she wishes to fence off a level area of land. She is not concerned about the shape of the plot but it must have perimeter of 1000m. What she does wish to do is to fence off the plot of land which contains the maximun area. Investigate the shape/s of the plot of land that have the maximum area. Solution Firstly I will look at 3 common shapes. These will be: A regular triangle for this task will have the following area: 1/2 b x h 1000m / 3 - 333.33 333.33 / 2 = 166.66 333.33² - 166.66² = 83331.11 Square root of 83331.11 = 288.67 288.67 x 166.66 = 48112.52² A regular square for this task will have the following area: Each side = 250m 250m x 250m = 62500m² A regular circle with a circumference...
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