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2006 AMC 10A Problem 12

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2006 AMC 10A Problem 12AMC 10 Step by Step
Name:                             Date: September 13, 2026
Circles · difficulty 2 of 5 · about 3 min · position P11-15

Rolly wishes to secure his dog with an 8-foot rope to a square shed that is 16 feet on each side. His preliminary drawings are shown.

figure

Which of these arrangements give the dog the greater area to roam, and by how many square feet?

  1. A)

    I, by 8πI, \textrm{ by } 8\pi

  2. B)

    I, by 6πI, \textrm{ by } 6\pi

  3. C)

    II, by 4πII, \textrm{ by } 4\pi

  4. D)

    II, by 8πII, \textrm{ by } 8\pi

  5. E)

    II, by 10πII, \textrm{ by } 10\pi

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