Square $ABCD$ has an area of $9$ square inches. Sides $AD$ and $BC$ are lengthened to $x$ inches each. By how

Square $ABCD$ has an area of $9$ square inches. Sides $AD$ and $BC$ are lengthened to $x$ inches each. By how many inches were sides $AD$ and $BC$ lengthened?

(1) The diagonal of the resulting rectangle measures $5$ inches.
(2) The resulting rectangle can be cut into three rectangles of equal size.

Answer: A

Source: Manhattan GMAT

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