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2012 AMC 10B Problem 14

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2012 AMC 10B Problem 14AMC 10 Step by Step
Name:                             Date: September 13, 2026
Quadrilaterals & Polygon Areas · difficulty 3 of 5 · about 5 min · position P11-15

Two equilateral triangles are contained in a square whose side length is 232\sqrt 3 . The bases of these triangles are the opposite sides of the square, and their intersection is a rhombus. What is the area of the rhombus?

  1. A)

    32\frac{3}{2}

  2. B)

    3\sqrt 3

  3. C)

    22−12\sqrt 2 - 1

  4. D)

    83−128\sqrt 3 - 12

  5. E)

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

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