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The Fencing Problem  

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The Fencing Problem Question A farmer has exactly 1000 metres of fencing, with it she wishes to fence off a plot of level land. She is not concerned about the shape of the plot, but it must have a perimeter of 1000 metres. What she does wish to do is fence off the land which contains the maximum area. Investigation In my investigation I am going to calculate the area of many shapes, (Circle, Square, Rectangles, Polygons and Triangles). I am going to change the length of the sides to determine the greatest area; all the shapes will have a perimeter of 1000 metres. Hypothesis I predict that the circle will have the greatest are and the triangle will have the smallest area. The circle has one continual line and therefore will have the biggest area. As the amount of sides a shape has decreases the area of that shape decreases. Squares and Rectangles 1. A=L...

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