Find the Area of the Region Bounded by the Equations $\begin{array} { l } x = 16 - y ^ { 2 } \\x = y - 4\end{array}$

Multiple Choice

Find the area of the region bounded by the equations by integrating
(i) with respect to x and
(ii) with respect to y.
$\begin{array} { l } x = 16 - y ^ { 2 } \\x = y - 4\end{array}$

A) $A = \frac { 727 } { 12 }$
B) $A = \frac { 365 } { 12 }$
C) $A = \frac { 243 } { 4 }$
D) $A = \frac { 243 } { 2 }$
E) $A = \frac { 365 } { 6 }$