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}