$.(8$ points$)$ The height of a triangle is increasing at rate of $2c\frac{m}{s}$ while the area is decreasing at a rate of $4c\frac{m^2}{s}.$ How fast is the base of the triangle changing when the base is $1$ cm and the area is $3c{m}^2?$

Hint: The area of a triangle is $A=\frac{1}{2}bh.$

Be sure to include units with your answer.

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