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Problem of the Day #153: Shapeception August 19, 2011

Posted by Seungln in : potd , trackback

AIbert has a shape that is a triangle within a square within a pentagon within a hexagon. If each of the shapes within another shape is as big as it can possibly be, if all of the shapes are regular, and if the area of the hexagon is $100000$ square units, what is the area of the triangle? Round to the nearest integer.

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