AMC 10A 2009 Problem 14

Four congruent rectangles are placed as shown. The area of the outer square is 4 times that of the inner square. What is the ratio of the length of the longer side of each rectangle to the length of its shorter side?

Answer Choices
A. 3
B. \sqrt{10}
C. 2+\sqrt{2}
D. 2 \sqrt{3}
E. 4

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