The side of a square sheet of metal is increasing at the rate of $3 \text{ cm/min}$. At what rate is the area increasing when the length of the side is $6 \text{ cm}$?
- A$36 \text{ cm}^2/\text{min}$
- B$12 \text{ cm}^2/\text{min}$
- C$18 \text{ cm}^2/\text{min}$
- D$9 \text{ cm}^2/\text{min}$
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