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2010 AMC 10A Problem 19

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2010 AMC 10A Problem 19AMC 10 Step by Step
Name:                             Date: September 13, 2026
Quadrilaterals & Polygon Areas · difficulty 4 of 5 · about 7 min · position P16-20

Equiangular hexagon ABCDEFABCDEF has side lengths AB=CD=EF=1AB=CD=EF=1 and BC=DE=FA=rBC=DE=FA=r . The area of △ACE\triangle ACE is 70%70\% of the area of the hexagon. What is the sum of all possible values of rr ?

  1. A)

    433\frac{4\sqrt{3}}{3}

  2. B)

    103\frac{10}{3}

  3. C)

    44

  4. D)

    174\frac{17}{4}

  5. E)

    66

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