Find the Area of the Lateral Surface Over the Curve $z = f ( x , y )$

Multiple Choice

Find the area of the lateral surface over the curve C in the xy-plane and under the surface $z = f ( x , y )$ where Lateral surface area $= \int _ { c } f ( x , y ) d s$ .
$f ( x , y ) = 9$ , C: line from $( 0,0 )$ to $( 12,13 )$

A) $9 \sqrt { 309 }$
B) 0
C) $9 \sqrt { 315 }$
D) $9 \sqrt { 313 }$
E) $9 \sqrt { 311 }$