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A farmer has brought 1000 metres 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  

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Maths Coursework The fencing problem: Aim: A farmer has brought 1000 metres 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. Rectangles I begin my investigation by starting with different shaped rectangles; I will change the value of the widths and lengths by going up in increments of 50m. 450m 50m Area = 450 x 50 = 22,500mē 400m 100m Area = 400 x 100 = 40,000mē 350m 150m Area = 350 x 150 = 52,500mē 300m 200m Area = 300 x 200 = 60,000mē 250m 250m Area = 250 x 250 = 62,500mē * Becomes a square* I have noticed that if you increase and decrease the lengths and widths by 50m the area will increase until it reaches the optimum length and width where the maximum area for...

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