Find the Area of the Part of the Plane X $\sqrt { 2 }$

Multiple Choice

Find the area of the part of the plane x +y + z = 6 that lies above the square with vertices (0, 0) , (1, 0) , (0, 1) , and (1, 1) .

A) 1
B) $\sqrt { 2 }$
C) $\sqrt { 3 }$
D) 2
E) $\sqrt { 5 }$
F) $\sqrt { 6 }$
G) $\frac { \sqrt { 5 } } { 2 }$
H) $\frac { \sqrt { 6 } } { 2 }$