**AMC 10 Mock Exam Question 15**

Four circles of radius $1$ are each tangent to two sides of a square and externally tangent to a circle of radius $2$, as shown. What is the area of the square?

$\displaystyle \textbf{(A) } 32 \qquad \textbf{(B) } 22 + 12\sqrt{2}\qquad \textbf{(C) } 16 + 16\sqrt{3}\qquad \textbf{(D) } 48 \qquad \textbf{(E) } 36 + 16\sqrt{2}$

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