**AMC 10 Mock Exam Question 20**

An equilangular octagon has four sides of length $1$ and four sides of length $\dfrac{\sqrt{2}}{2}$, arranged so that no two consecutive sides have the same length. What is the area of the octagon?

$\displaystyle \textbf{(A) } \frac{7}{2}\qquad \textbf{(B) } \frac{7\sqrt2}{2}\qquad \textbf{(C) } \frac{5+4\sqrt2}{2}\qquad \textbf{(D) } \frac{4+5\sqrt2}{2}\qquad \textbf{(E) } 7$

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