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2019 AMC 10B Problem 8

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2019 AMC 10B Problem 8AMC 10 Step by Step
Name:                             Date: September 13, 2026
Quadrilaterals & Polygon Areas · difficulty 2 of 5 · about 2 min · position P1-10

The figure below shows a square and four equilateral triangles, with each triangle having a side lying on a side of the square, such that each triangle has side length 22 and the third vertices of the triangles meet at the center of the square. The region inside the square but outside the triangles is shaded. What is the area of the shaded region?

figure

  1. A)

    44

  2. B)

    12−4312 - 4\sqrt{3}

  3. C)

    333\sqrt{3}

  4. D)

    434\sqrt{3}

  5. E)

    16−4316 - 4\sqrt{3}

Working