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My investigation is about a farmer who has exactly 1000 metres of fencing and wants to use all of it to fence off the maximum area of land possible. I want to find the regular polygon that will have the maximum area with a perimeter
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Mathematics Investigation The Fencing Problem. By Waseem khalique My investigation is about a farmer who has exactly 1000 metres of fencing and wants to use all of it to fence off the maximum area of land possible. I want to find the regular polygon that will have the maximum area with a perimeter (or circumference) of exactly 1000 metres (m). I also want to look at compound shapes and see how their areas compare to those of the earlier shapes I looked at. I assume that the land is flat and that there is no need to leave gaps in the fencing for gates or anything. I also presume that the fence can be flexible i.e. will be able to curve into a circle. First of all I am going to look at rectangles, also known as irregular quadrilaterals, quad meaning 4, as not all the angles and sides are...
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