The area of the shaded region BEDC in parallelogram ABCD is[asy]
unitsize(10);
pair A,B,C,D,E;
A=origin; B=(4,8); C=(14,8); D=(10,0); E=(4,0);
draw(A--B--C--D--cycle);
fill(B--E--D--C--cycle,gray);
label("A",A,SW); label("B",B,NW); label("C",C,NE); label("D",D,SE); label("E",E,S);
label("10",(9,8),N); label("6",(7,0),S); label("8",(4,4),W);
draw((3,0)--(3,1)--(4,1));
[/asy](A) 24(B) 48(C) 60(D) 64(E) 80 geometryparallelogramtrapezoid