#1**+1 **

DC = 6

So

CE + DE = 6

2DE + DE = 6

3DE = 6

DE = 2

Since DE is parallel to AB in triangle FAB..then

AB /AF = DE /DF

6 / [ AD + DF ] = 2 / DF

6 / [ 6 + DF] = 2 /DF

6DF = 2 [ 6 + DF]

6DF = 12 + 2DF

4DF = 12

DF = 3

So angle EDF is right and its area = 1/2 * (DE * DF) = (1/2)(2 * 3) = 3 units^2

CPhill Oct 17, 2018