The diagram shows a regular hexagon, with sides of length 1, inside a square. Two vertices of the hexagon lie on a diagonal of the square and the other four lie on the edges.
What is the area of the square?Fully simplify your answer, leaving it in exact form.
Select one option, then click Submit.
2 + \sqrt{3}
4
3 + \sqrt{2}
1 + \frac{3\sqrt{3}}{2}
\frac{7}{2}
Select an option, then submit.
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Senior Mathematical Challenge 2010 (2010)
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