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The Fencing Problem Aim: The aim of this project is to find the largest possible area of containment by a fence of 1000 meters. This is achieved by experimenting with different shapes. Prediction: I predict that the largest area of containment made by the fence possible would be in the shape of a circle. This is because there are no edges: Area of circle Area of Hexagon The area shaded is the possible area that can be contained by a circle. As you can see the edges cut possible areas of containment, which the circular shape can hold. Therefore I predict that the maximum area from a shape with a perimeter of 1000 would be produced in a circle. Method: To carry out this investigation I started with a polygon with the least amount of side's possible that could contain an area. This was a triangle. To go about investigating the possible areas...

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