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2013 AMC 10B Problem 15

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2013 AMC 10B Problem 15AMC 10 Step by Step
Name:                             Date: September 13, 2026
Quadrilaterals & Polygon Areas · difficulty 3 of 5 · about 4 min · position P11-15

A wire is cut into two pieces, one of length aa and the other of length bb . The piece of length aa is bent to form an equilateral triangle, and the piece of length bb is bent to form a regular hexagon. The triangle and the hexagon have equal area. What is ab\frac{a}{b} ?

  1. A)

    11

  2. B)

    62\frac{\sqrt{6}}{2}

  3. C)

    3\sqrt{3}

  4. D)

    22

  5. E)

    322\frac{3\sqrt{2}}{2}

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