Find the Dimensions of the Rectangle Enclosed in the Semicircle $y = \sqrt { 144 - x ^ { 2 } }$

Multiple Choice

Find the dimensions of the rectangle enclosed in the semicircle $y = \sqrt { 144 - x ^ { 2 } }$ with the largest possible area.

A) 5 in. $\times 7$ in.
B) 6 in. $\times 6$ in.
C) $12 \sqrt { 2 }$ in. $\times 6 \sqrt { 2 }$ in.
D) $6 \sqrt { 2 }$ in. $\times 6 \sqrt { 2 }$ in.