Triangle AHI is equilateral. We know BC, DE, and FG are all parallel to HI and AB = BD = DF = FH. What is the ratio of the area of the trapezoid FGIH to the area of trapezoid DEGF? Express your answer as a common fraction.

The ratio of the area of the trapezoid FGIH to the area of trapezoid DEGF is 7/5