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One diagonal of a rhombus is decreasing at a rate of $7$ centimeters per minute and the other diagonal of the rhombus is increasing at a rate of $10$ centimeters per minute.$\newline$At a certain instant, the decreasing diagonal is $4$ centimeters and the increasing diagonal is $6$ centimeters.$\newline$What is the rate of change of the area of the rhombus at that instant (in square centimeters per minute)?$\newline$Choose $1$ answer:$\newline$(A) $-1$$\newline$(B) $-16$$\newline$(C) $\mathbf{1 6}$$\newline$(D) $1$$\newline$The area of a rhombus with diagonals $d_{1}$ and $d_{2}$ is $\frac{d_{1} d_{2}}{2}$.