Using a Change of Variables, the Double Integral $\iint$ _{R $\sqrt { ( x - y ) ( x + 4 y ) } d A$}

Multiple Choice

Using a change of variables, the double integral $\iint$ _{R $\sqrt { ( x - y ) ( x + 4 y ) } d A$} where R is the region bounded by the quadrilateral with vertices (0, 0) , (1, 1) , (5, 0) , and (4, -1) is

A) $\frac { 100 } { 3 }$
B) $- \frac { 100 } { 7 }$
C) $\frac { 100 } { 7 }$
D) $\frac { 100 } { 9 }$
E) $- \frac { 100 } { 9 }$