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2005 AMC 10A Question 8

AMC10 · 2005 AMC 10A

Question 8

In the figure, the length of side $AB$ of square $ABCD$ is $\sqrt{50},$ $E$ is between $B$ and $H,$ and $BE = 1.$ What is the area of the inner square $EFGH?$

Question illustration
  1. $25$
  2. $32$
  3. $36$
  4. $40$
  5. $42$