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 $z = ( 2 y + 5 x ) ^ { 2 } \sqrt { 2 y - 7 x }$ and above the plane region $R$ : region bounded by the parallelogram with vertices $( 0,0 ) , ( - 2,5 ) , ( 4,26 ) , ( 6,21 )$ . Round your answer to two decimal places.

A) $50,792.62$
B) $8,465.44$
C) $17,957.90$
D) $406,340.95$
E) $748.25$