Areas!

Geometry Level 4

There are 7 squares with sides \(x, 3x, 5x\) and \(7x\) embedded on a rectangle. Such that one side of both squares with side x coincide with the rectangle and each of the square share on of it's side with the other square. Also two opposite sides of \(7x\) square coincide with length of the rectangle.

If the ratio of blue color region to that of multicolored region is of the form \(\dfrac{a}{b}\), where a and b are coprime positive integers, give your answer as the remainder when \(b\) is divided by \(a\).

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