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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