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The Fencing Problem The problem to be solved is that a farmer needs to find the shape that will have the largest area when it has a perimeter of 1000m, so she can fence off a plot of level land. To do this I will have to look at several shapes and investigate a pattern. My prediction is that all the regular shapes will have the largest area. General Information sqrt = square root, A = area, P= perimeter, x^2=x squared, L= Length, W= width x/1/3=x and one third, n=number of sides, PI=â??,r=radius, C= circumference All diagrams not drawn to scale. Investigating different rectangles [IMAGE] All the rectangles must have a perimeter of 1000m. I have to find the rectangle with the largest area. First I will draw a few shapes to show you a pattern. As you can see, the areas of the rectangles get larger as the difference...

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