The number of diagonals of two different regular polygons...

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The number of diagonals of two different regular polygons each consists of two identical digits. The square root of the sum of the sides of both polygons equals the number of sides of a?

A. Nonagon
B. Hendecagon
C. Heptagon
D. Pentagon
E. Triskaidecagon

The OA is D.

I don't have clear this PS question. I appreciate if any expert explain it for me. Thank you so much.