Question

In the figure, what is the area of triangle $ABD$? Express your answer as a common fraction.
[asy]
draw((3,0)--(0,0)--(0,4)--(7,0)--(3,0)--(0,4));
draw((0,2)--(7,0));
draw((.5,0)--(.5,.5)--(0,.5));
label("$A$",(0,4),W);
label("2",(0,3),W);
label("$E$",(0,2),W);
label("2",(0,1),W);
label("$C$",(0,0),SW);
label("3",(1.5,0),S);
label("$F$",(3,0),S);
label("4",(5,0),S);
label("$B$",(7,0),SE);
label("$D$",(21/11,16/11),NE);
[/asy]

Answer 1

No figure. Cannot draw on these posts.

Answer 2

56/11