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There is a need to make a fence that is 1000m long. The area inside the fence has to have the maximum area. I am investigating which shape would give this. Rectangles: I am going to start investigating different shape rectangles, all which have a perimeter of 1000m. Below are 2 rectangles (not to scale) showing how different shapes with the same perimeter can have different areas. Here are some pure examples of what I have to accomplish with rectangles having perimeters of 1000 metres. E.g. 1: E.g. 2: In a rectangle (of 1000m), any two different length sides will add up to 500m, this is because each side has an opposite with the same length. Therefore in a rectangle of 100m X 400m, there are two sides opposite each other that are 100m long and two sides next to them that are opposite each other that are 400m long. This means that...

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