Question 36
A square is inscribed in a regular octagon, with its vertices at vertices of the regular octagon (see the figure). The area of the square is $2~\mathrm{cm}^2$. How many square centimetres is the area of the regular octagon?
(A) $1+\sqrt{2}$
(B) $\frac{5}{2}$
(C) $2 \sqrt{2}$
(D) 3
(E) $3 \sqrt{2}-1$
(A) $1+\sqrt{2}$
(B) $\frac{5}{2}$
(C) $2 \sqrt{2}$
(D) 3
(E) $3 \sqrt{2}-1$