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Fencing Problem Aim: My investigation is to find the maximum area of a regular polygon with the perimeter of 1000m. Method: I will calculate the area of different shapes which will consists of regular polygons including triangles, rectangles pentagons hexagons, heptagons and I will conclude my research with circles. I will achieve this by applying a formula for each of the shapes; the formula will include Pythagoras theorem and trigonometry. This will lead me to my conclusion that will tell me which regular polygon has the highest area with the perimeter 1000m. I started my investigation with rectangles because it is a basic shape and simple to begin the investigation with. I discovered that when the side lengths of the rectangle are the same, I reached maximum area from the shape. 0 500 0 50 450 22500 100 400 40000 150 350 52500 200 300 60000 250 250 62500 300 200 60000 350 150 52500 400 100 40000 450 50 22500 500 0 0 The table shows the different lengths and widths of a rectangle. I have chosen to increase the length and decrease the...

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