Find the Center of Mass of the Rectangular Lamina with Vertices

Multiple Choice

Find the center of mass of the rectangular lamina with vertices $( 0,0 ) , ( 6,0 ) , ( 0,24 )$ and $( 6,24 )$ for the density $\rho = k x y$ .

A) $( 16,4 )$
B) $( 6,24 )$
C) $( 0,16 )$
D) $( 4,16 )$
E) $( 4,8 )$