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The Fencing Problem I am writing this investigation for a farmer who has 1000m2 of fencing and wants to find out how he can create the most area by using the fencing and rearranging the fence in different shapes. From only 3 sides to 99999 sides I have worked out the highest and lowest area for the farmers plot of land. I will investigate 2 different families of shapes and try to work out a pattern between them. These are the results from my investigation a b Area = 500(500-a) (500-b) (500-c) c Area = 500(500-333 1/3) (500-333 1/3) (500-333 1/3) =83334.248 Area = 500(500-300) (500-350) (500-350) =47434.164 Area = 500(500-250) (500-450) (500-300) =35355.339 Area = 500(500-250) (500-500) (500-250) =6123.724 Area = 500(500-150) (500-500) (500-300) =5916.079 Area = 500(500-400) (500-400) (500-200) =38729.833 Area = 500(500-450) (500-450) (500-150) =20916.501 Now I will try a different family of shapes a 4 sided shape but...

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