Integrate the Function $f$ Over the Surface $S$ Let $S$ Be the Portion of the Plane

Multiple Choice

Integrate the function $f$ over the surface $S$ Let $S$ be the portion of the plane $z = x + 9 y - 2$ above the rectangle $1 \leq x \leq 3$ and $2 \leq x \leq 4$ and $f ( x , y ) = x ^ { 2 }$

A) $52 \sqrt { 83 }$
B) $26 \sqrt { 83 }$
C) $\frac { 52 } { 3 } \sqrt { 83 }$
D) $\frac { 26 } { 3 } \sqrt { 83 }$