CEMC Fermat, 2010

Geometry Difficulty 3.0 AMC 10/12 Find the answer Canada

A rectangle is divided into four smaller rectangles, labelled $W$ , $X$ , $Y$ , and $Z$ , as shown. The perimeters of rectangles $W$ , $X$ and $Y$ are $2$ , $3$ and $5$ , respectively. What is the perimeter of rectangle $Z$ ?

(A) $6$ (B) $7$ (C) $4$ (D) $8$ (E) $7.5$

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