# Rhombus Problem

Geometry Level 2

The shorter diagonal, $$a$$, of a rhombus is $$x$$ in. shorter than the longer diagonal, $$b$$. $$a$$ and $$b$$ are positive integers where $$a^2$$ + $$b^2$$ = $$625$$. If the sum of the area and perimeter of the rhombus is 200, what is the value of $$x$$?

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