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The Fencing Problem.  

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Maths Coursework - The Fencing Problem Maths Coursework The Fencing Problem Aim: A farmer has brought 1000 meters of fencing. With this fencing he wants to enclose an area of land. The farmer wants the fencing to enclose an area of the biggest size. I will investigate different shapes the fencing can make to achieve the largest area. I am going to start investigating different shape rectangles because they are the easiest shapes to work with, the perimeter all of these shapes will have to be 1000 meters. Below are two rectangles (to scale) showing how different shapes with the same perimeter can have different areas. I will use a scale of 1cm: 100m. 1) 2) 400m (4cm) Height 300m (3cm) 200m (2cm) 100m (1cm) Width I will work out the area of both rectangles by using the formula below. Both rectangles have a perimeter of 1000m 1) Area of rectangle = height * width Area of rectangle =...

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