Mock AMC 8 #1 - Problem 22

Let GLEB be a square. Let M and Z be points on GL and EB respectively. The area of quadrilateral GMBZ is 29. The area of MLEZ is 37, and \frac{GM}{ML} = 2. If \frac{BZ}{ZE} = \frac{a}{b}, where a and b are relatively prime, positive integers, find a+b.

(\textbf{A})\;15\quad(\textbf{B})\;5\quad(\textbf{C})\;47\quad(\textbf{D})\;34\quad(\textbf{E})\;33