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CEMC Gauss (Grade 7), 2003

Geometry Difficulty 2.0 Junior Find the answer Canada

Two squares, each with side length 5 cm, overlap as shown. The shape of their overlap is a square, which has an area of $4\text{ cm}^2$ . What is the perimeter, in centimetres, of the shaded figure?

(A) $24$ (B) $32$ (C) $40$ (D) $42$ (E) $50$

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