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2018 AMC 10B Problem 24

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2018 AMC 10B Problem 24AMC 10 Step by Step
Name:                             Date: September 13, 2026
Quadrilaterals & Polygon Areas · difficulty 4 of 5 · about 8 min · position P21-25

Let ABCDEFABCDEF be a regular hexagon with side length 11 . Denote by XX , YY , and ZZ the midpoints of sides AB‾\overline {AB} , CD‾\overline{CD} , and EF‾\overline{EF} , respectively. What is the area of the convex hexagon whose interior is the intersection of the interiors of △ACE\triangle ACE and △XYZ\triangle XYZ ?

  1. A)

    383\frac {3}{8}\sqrt{3}

  2. B)

    7163\frac {7}{16}\sqrt{3}

  3. C)

    15323\frac {15}{32}\sqrt{3}

  4. D)

    123\frac {1}{2}\sqrt{3}

  5. E)

    9163\frac {9}{16}\sqrt{3}

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