Answer
A$_{EAFD}$$\approx$171
Work Step by Step
A$_{FBC}$=.5(BC)(.5BC$\sqrt 3)$
A$_{FBC}$=36$\sqrt 3$
A$_{ABCD}$=.5(BC+BC+.5(2)AB)(.5AB$\sqrt 3$)
A$_{ABCD}$=.5(29)(2.5$\sqrt 3$)
A$_{ABCD}$=36.25$\sqrt 3$
AE$^2$=AD$^2$-DE$^2$
AE$^2$=289-256
AE$^2$=33
AE=$\sqrt {33}$
A$_{AED}$=.5(AE)(DE)
A$_{AED}$=8$\sqrt {33}$
A$_{EAFD}$=8$\sqrt {33}$+36.25$\sqrt 3$+36$\sqrt 3$
A$_{EAFD}$$\approx$171
