Question 1186236
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AB = 2*BC<br>
BFDE is a square, so triangles AED, ABC and DFC are similar.<br>
So DF = 2*FC.<br>
Then, since DF=FB...<br>
Let CF = x.  Then...
DF = 2x
BC = CF+FB = CF+DF = x+2x = 3x
AB=2*BC = 6x<br>
That gives you all the measurements you need to find the areas of all of the figures in the diagram in terms of x; then you will be able to answer the question.<br>