# Algebra Equations

Algebra Level pending

Above shows a rectangle $$ABCD$$ with $$F$$ be the midpoint of $$AB$$, $$AB = 20$$, $$BC= 16$$, $$ED = BG = x$$. Lines $$FH$$ and $$IJ$$ are parallel to each other. $$IC = \frac7{16}$$ DC.

What is the difference of the area between the trapezium $$CGIJ$$ and the area of the trapezium $$DEFH$$?

Take $$x =\dfrac{AB\cdot AD}{[2.5(AB)]}$$.

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