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2005 AMC 10A Problem 8

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2005 AMC 10A Problem 8AMC 10 Step by Step
Name:                             Date: September 13, 2026
Triangles: Area & Pythagorean · difficulty 2 of 5 · about 3 min · position P1-10

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

  1. A)

    2525

  2. B)

    3232

  3. C)

    3636

  4. D)

    4040

  5. E)

    4242

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