$(10$ points$)$ A water resources engineer is designing a fast$-$food restaurant with the following characteristics below. Using the rational method calculate the rainfall intensity $(1)$ to determine the runoff depth precipitation in inches for the $25-$year $30-$minute storm event:a$.$ A$=8$ acresb. Land use breakdown:i$.4$ acres @C$=0\mathrm{.}95$ ii$\mathrm{.}3$ acres @ C$=0\mathrm{.}85$ iii$\mathrm{.}1$ acre @ C$=0\mathrm{.}35$c$.$ Tc$=30$ minutes.d$.$ Q$=42$ cfs @ a $25-$year storm event