# Ratio between areas

Geometry Level 4

Consider a pentagon and an hexagon, both with side $$L$$. Let $$A$$ be the area of the pentagon, and $$B$$ the area of the hexagon. If the ratio $$A:B$$ can be expressed as $$\frac{\sqrt{a+b \sqrt{c}}}{d}$$, then find $$a+b+c+d$$.

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