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Dividing Rectangles


A rectangle with integral side lengths and area less than 400 ft2 is divided into four smaller rectangles with the upper-right corner being a square. Find a possible area of the shaded rectangle if one of its side lengths is greater than the square's side lengths. The area of two of the rectangles is given in the diagram.


(Source: Adapted from Mathematics Teaching in the Middle School, Mar-Apr 1996)


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