length of the yellow line

Four squares of respective side lengths 4, 9,15, and 21 are arranged as shown. Find the length of the yellow line. If your answer can be expressed as a7+b7c\frac{a}{7}+\frac{b}{7}\sqrt{c}, where cc is square free, give a+b+c.a+b+c.

Note: Neglect the thickness of the lines.

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