Find the Area of the Surface $S$ Let $S = \{ ( u + v , 3 u + 2 v , 6 v ) : 0 \leq u \leq 1 \text { and } 1 \leq v \leq 3 \}$

Multiple Choice

Find the area of the surface $S$ Let $S = \{ ( u + v , 3 u + 2 v , 6 v ) : 0 \leq u \leq 1 \text { and } 1 \leq v \leq 3 \}$

A) $\sqrt { 219 }$
B) $2 \sqrt { 83 }$
C) $\sqrt { 83 }$
D) $38$