Solve the Problem $x$ -Axis of a Thin Triangular Plate Bounded by the Coordinate

Multiple Choice

Solve the problem.
-Find the moment of inertia about the $x$ -axis of a thin triangular plate bounded by the coordinate axes and the line $x + y = 6$ if $\delta ( x , y ) = x + y$ .

A) $\frac { 7776 } { 5 }$
B) $\frac { 3888 } { 5 }$
C) $\frac { 2592 } { 5 }$
D) 864