If the side of an equilateral triangle increases at the rate of $\sqrt{3} \text{ cm/sec}$, then the rate of change of its area when the side is $12 \text{ cm}$ is

  • A
    $18 \text{ cm}^2/\text{sec}$
  • B
    $10 \text{ cm}^2/\text{sec}$
  • C
    $12 \text{ cm}^2/\text{sec}$
  • D
    $3\sqrt{3} \text{ cm}^2/\text{sec}$

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