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A rectangle begins with a height of $4$ inches and a width of $16$ inches. The height increases at a rate of of $2$ in/sec while the width decreases at a ratae of $1$ in/sec. At what rate is the area changing at the moment when the rectangle is a square?

A

$0$ in$^2$/sec

B

$-2$ in$^2$/sec

C

$12$ in$^2$/sec

D

$144$ in$^2$/sec

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