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The Fencing Problem  

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Maths Coursework: The Fencing Problem 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. Triangles: Scalene The diagram above is not to scale. Instead of having the perimeter to 1000m, only in this diagram, I have made the perimeters of the shape to 10, only to make this part of the investigation easier to understand. We know that the base of all the shapes is 2. The lengths for the equilateral triangle are 4 on each side. This part of the investigation is to explain why the triangle with the longest height cannot have the same base. The tallest triangle also has a perimeter of 10. One of the sides for the tallest triangle is 5, which is understandable. However the other side is 3. This is literally impossible to...

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