AMC 10 Step by Step
2005 AMC 10AProblem 8P1-10~3 minPrint

In the figure, the length of side ABAB of square ABCDABCD is 50\sqrt{50} , EE is between BB and HH , and BE=1BE = 1 . What is the area of the inner square EFGHEFGH ?

figure

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.