A square is drawn on the exterior of each side of a 6-inch by 8-inch rectangle. The centers of these squares are then joined to form a quadrilateral. What is the area of that quadrilateral, in square inches?
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Consider the diagram on the left. The formed quadrilateral is a square. So the area is
A = 2 1 ( d 1 ) ( d 2 ) = 2 1 ( 1 4 ) ( 1 4 ) = 9 8 i n c h e s 2