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?

**Answer Choices**

A. 32

B. 22+12 \sqrt{2}

C. 16+16 \sqrt{3}

D. 48

E. 36+16 \sqrt{2}

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?

**Answer Choices**

A. 32

B. 22+12 \sqrt{2}

C. 16+16 \sqrt{3}

D. 48

E. 36+16 \sqrt{2}