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The fencing problem
Member rating: No Rating | Words: | Submitted: Fri Sep 05 2003
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The fencing problem A farmer has 1000m of fencing and wants to fence off a plot of level land. She is not concerned about the shape of 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 of the plot of land with the polygon with the biggest area. To find this I will find whether irregular shapes are larger than regular ones or visa versa. To do this I will find the area of irregular triangles and a regular triangle, irregular quadrilaterals and a regular square, this will prove whether irregular polygons are larger that regular polygons. Area of an isosceles irregular triangle: (Note: I found there is not a right angle triangle with the perimeter of exactly 1000m, the closest I got to it is on the results table below.) To find the area of an isosceles triangle I...
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