MathDB

The area of the shaded region

\text{BEDC}

in parallelogram

\text{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]

\text{(A)}\ 24 \qquad \text{(B)}\ 48 \qquad \text{(C)}\ 60 \qquad \text{(D)}\ 64 \qquad \text{(E)}\ 80

Problem Statement