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The fencing problem.  

Member rating: 5 out of 10 stars (1 vote) | Words: | Submitted: Mon Nov 17 2003

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There is a need to make a fence that is 1000m long. The area inside the fence has to have and give the maximum area. I will be investigating which shape would give this . I will be investigating the following shapes * Rectangles * Triangles * Pentagons * Hexagon * Heptagon Prediction I predict that as the number of sides increases the area of the shape will also increases Rectangles I am going to start investigating different shape rectangles, all which have a perimeter of 1000 meters. Below are 2 rectangles showing how different shapes with the same perimeter can have different areas. In a rectangle, any 2 different lengths sides will add up to 500 because each side has an opposite with the same length. Therefore in a rectangle of 100m x 400m, there are two other that are 100m long and 2 sides next tot hem that are opposite each other that are 400m...

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