FERMAT 2010 Problem 18

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?

Image

Answer Choices
A. 6
B. 7
C. 4
D. 8
E. 7.5