Solve the Problem $3 .$ A) $h = \sqrt { 2 } , w = 3 \sqrt { 2 }$

Multiple Choice

Solve the problem.
-Determine the dimensions of the rectangle of largest area that can be inscribed in a semicircle of radius $3 .$

A) $h = \sqrt { 2 } , w = 3 \sqrt { 2 }$
B) $h = 3 \sqrt { 2 } , w = \sqrt { 2 }$
C) $h = 3 \sqrt { 2 } , w = \frac { 3 \sqrt { 2 } } { 2 }$ ,
D) $h = \frac { 3 \sqrt { 2 } } { 2 } , w = 3 \sqrt { 2 }$