How to calculate ratio of areas of the shaded triangle and the hexagon?

How to calculate ratio of areas of the shaded triangle and the hexagon?

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$A_{\text{hex}}=6A_{\text{eqtri}}$; $A_{\text{shad}}=2A_{\text{eqtri}}$; $r=A_{\text{shad}}/A_{\text{hex}}=(2A_{\text{eqtri}})/(6A_{\text{eqtri}})=1/3$ – enzotib Sep 17 '12 at 10:21