Review question

# What is the area of a square containing a regular hexagon? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6408

## Question

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?

(A) $\quad 2+\sqrt{3}\qquad$ (B) $\quad 4\qquad$ (C) $\quad 3+\sqrt{2}\qquad$ (D) $\quad 1+\dfrac{3\sqrt{3}}{2}\qquad$ (E) $\quad\dfrac{7}{2}$