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2022 AMC 10A Problem 5

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2022 AMC 10A Problem 5AMC 10 Step by Step
Name:                             Date: September 13, 2026
Triangles: Area & Pythagorean · difficulty 2 of 5 · about 3 min · position P1-10

Square ABCDABCD has side length 11 . Points PP , QQ , RR , and SS each lie on a side of ABCDABCD such that APQCRSAPQCRS is an equilateral convex hexagon with side length ss . What is ss ?

  1. A)

    23\frac{\sqrt{2}}{3}

  2. B)

    12\frac{1}{2}

  3. C)

    2−22 - \sqrt{2}

  4. D)

    1−241 - \frac{\sqrt{2}}{4}

  5. E)

    23\frac{2}{3}

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