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2009 AMC 10A Question 14

AMC10 · 2009 AMC 10A

Question 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?

Question illustration
  1. $3$
  2. $\sqrt{10}$
  3. $2 + \sqrt{2}$
  4. $2\sqrt{3}$
  5. $4$