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The Fencing Problem
Member rating: No Rating | Words: | Submitted: Thu Jan 13 2005
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The Fencing Problem Sam Miranda S4A There is a need to make a fence that is 1000m long. The area inside the fence has to have the maximum area. I am investigating which shape would give this. I am going to start investigating different shape rectangles, all which have a perimeter of 1000m. Rectangles are suitable shapes to begin with because it is easy to find their area, and they are a good foundation to build upon. Below are 2 rectangles (not to scale) showing how different shapes with the same perimeter can have different areas. Here are some pure examples of what I have to accomplish with rectangles having perimeters of 1000 metres. E.g. 1: 150m 350m E.g. 2: Area = 400 X 100 = 40000m2 100m 400m In a rectangle (of 1000m), any two different length sides will add up to 500m, and this is because each side has an opposite with the same length. Therefore in a rectangle...
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