$\text { Find the area of the portion of the surface } z = 8 x + 4 y \text { that lies above the triangular }$

Multiple Choice

$\text { Find the area of the portion of the surface } z = 8 x + 4 y \text { that lies above the triangular }$ region with vertices $( 0,0 ) , ( 2,0 )$ , and $( 0,2 )$ .

A) 4
B) 36
C) 18
D) 162
E) 324