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Playing with Cyclic Quadrilaterals May 27, 2011

Posted by Saketh in : bonus , trackback

Alex has created a model of a cyclic quadrilateral using some modelling clay. He observes that it has the following properties:

SeungIn sees a spider crawling on the model and attempts to swat it. Unfortunately, he ends up squishing the quadrilateral instead. Both of its diagonals shrink by exactly $1$ unit, but they remain perpendicular to each other. Determine the area of the new shape.

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