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2008 AMC 10A Problem 21

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2008 AMC 10A Problem 21AMC 10 Step by Step
Name:                             Date: September 13, 2026
Solid Geometry · difficulty 4 of 5 · about 5 min · position P21-25

A cube with side length 11 is sliced by a plane that passes through two diagonally opposite vertices AA and CC and the midpoints BB and DD of two opposite edges not containing AA or CC , as shown. What is the area of quadrilateral ABCDABCD ?

figure

  1. A)

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

  2. B)

    54\frac{5}{4}

  3. C)

    2\sqrt{2}

  4. D)

    58\frac{5}{8}

  5. E)

    34\frac{3}{4}

Working