The Fencing Problem. My aim is to determine which shape will give me the largest area with the same perimeter. I will be using squares and other shapes, such as triangles, pentagons and etc.

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The Fencing Problem

Aim

My aim is to determine which shape will give me the largest area with the same perimeter. I will be using squares and other shapes, such as triangles, pentagons and etc. After I have collected my data from a certain shape, (e.g. rectangles), I will draw a graph to show what my results show and make observations on the results. I will also take more than one type of data for every shape, so I will use the trial and improvement method to see what type of a certain shape gives me the largest area. An example would be me taking 10 different types of rectangles to see which one will give the largest Area. I will also try to find out a rule from my results and if there is I will find an algebraic formula to show this. My own hypothesis is that the shape that is regular will have the largest area. The perimeter that I will be able to use is 1000m. I will present my data in a table, graph and a diagram where you will be able to see the calculation and diagram of the certain object.