Use a Change of Variables to Find the Volume of the Solid

Multiple Choice

Use a change of variables to find the volume of the solid region lying below the surface $z = \sqrt { ( x - y ) ( x + 3 y ) }$ and above the plane region $R$ : region bounded by the parallelogram with vertice $( 0,0 ) , ( 5,5 ) , ( 20,0 ) , ( 15 , - 5 )$ . Round your answer to two decimal places.

A) $206.56$
B) $3,555.56$
C) $5,333.33$
D) $1,333.33$
E) $888.89$