The top diagram on the right shows a shape that tiles the plane, as shown in the lower diagram. The tile has nine sides, six of which have length 1. It may be divided into three congruent quadrilaterals as shown.
What is the (exact) area of the tile?
Select one option, then click Submit.
\frac{1 + 2\sqrt{3}}{2}
\frac{4\sqrt{3}}{3}
\sqrt{6}
\frac{3 + 4\sqrt{3}}{4}
\frac{3\sqrt{3}}{2}
Select an option, then submit.
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