# 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 $$a$$.

×