# A rectangle's sides

Geometry Level 3

A rectangle is divided into $$13$$ smaller rectangles. Each small rectangle has at least one side which length is an integer. The big rectangle's sides are $$20.17$$ and $$x$$. We know that $$x=0.2017*10^n$$, where $$n$$ is a non-negativ integer. What is the minimum value of $$n$$? (You can choose how you divide the rectangle, the figure is just an example.)

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