Solve the Problem $\delta = 8$ Bounded by the Coordinate Axes and the Line

Multiple Choice

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

A) 20,000
B) $\frac { 40,000 } { 3 }$
C) $\frac { 4000 } { 3 }$
D) $\frac { 400 } { 3 }$