To find the unit rate for \( \frac{182 \text{ dollars}}{14 \text{ feet}} \), you should divide both the numerator and the denominator by 14. This will give you the amount of dollars per one foot.
So, we do the following:
\[ \frac{182 \text{ dollars}}{14 \text{ feet}} \div 14 = \frac{182 \div 14 \text{ dollars}}{14 \div 14 \text{ feet}} = \frac{13 \text{ dollars}}{1 \text{ foot}} \]
Thus, the unit rate is \( 13 \) dollars per foot.
Therefore, the correct action is: divide both 182 and 14 by 14.