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. $x$ 7 in.
B) $6$ in. $x$ $6$ in.
C) $12 \sqrt{2}$ in. $x$ $6 \sqrt{2}$ in.
D) $6 \sqrt{2}$ in. $x$ $6 \sqrt{2}$ in.