Let T Be the Triangle with Vertices (0, 0), (2 $I _ { 0 }$

Multiple Choice

Let T be the triangle with vertices (0, 0) , (2, 4) , and (2, 0) . Let the density at each point of T be equal to 1. Find $I _ { 0 }$ for T.

A) $8$
B) $\frac { 56 } { 3 }$
C) $\frac { 16 } { 3 }$
D) $\frac { 32 } { 3 }$