CEMC Cayley, 2004

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

In the diagram, a smaller square lies inside a larger square. The perimeter of the smaller square is 72 cm. The shaded area is $160\text{ cm}^2$ . The perimeter of the larger square, in cm, is

(A) $58$ (B) $88$ (C) $116$ (D) $121$ (E) $112$

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