Point E is the midpoint of side CD in square ABCD, and BE meets diagonal AC at F. The area of quadrilateral AFED is 45. What is the area of ABCD?[asy]
size(5cm);
draw((0,0)--(6,0)--(6,6)--(0,6)--cycle);
draw((0,6)--(6,0)); draw((3,0)--(6,6));
label("A",(0,6),NW);
label("B",(6,6),NE);
label("C",(6,0),SE);
label("D",(0,0),SW);
label("E",(3,0),S);
label("F",(4,2),E);
[/asy]<spanclass=′latex−bold′>(A)</span>100<spanclass=′latex−bold′>(B)</span>108<spanclass=′latex−bold′>(C)</span>120<spanclass=′latex−bold′>(D)</span>135<spanclass=′latex−bold′>(E)</span>144