Solve the Problem $\delta = 10$ Bounded by the Coordinate Axes and the Line

Multiple Choice

Solve the problem.
-Find the moment of inertia about the x-axis of a thin plane of constant density $\delta = 10$ bounded by the coordinate axes and the line $\frac { x } { 2 } + \frac { y } { 8 } = 1$ .

A) $\frac { 640 } { 3 }$
B) $\frac { 2560 } { 3 }$
C) $\frac { 10,240 } { 3 }$
D) $\frac { 160 } { 3 }$