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2007 AMC 10A Problem 15

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2007 AMC 10A Problem 15AMC 10 Step by Step
Name:                             Date: September 13, 2026
Circles · difficulty 3 of 5 · about 4 min · position P11-15

Four circles of radius 11 are each tangent to two sides of a square and externally tangent to a circle of radius 22 , as shown. What is the area of the square?

figure

  1. A)

    3232

  2. B)

    22+12222 + 12\sqrt {2}

  3. C)

    16+16316 + 16\sqrt {3}

  4. D)

    4848

  5. E)

    36+16236 + 16\sqrt {2}

Working