Geometry Level 4

In the figure $$AG=2 \text{ cm},GB=12 \text{ cm},BE=3 \text{ cm}, EC=10 \text{ cm},CF=4 \text{ cm}, FA=11\text{ cm}$$, If the area of shaded region can be expressed as $$\frac{M}{G}$$ Where both are co-prime to each other, then find $$M+G$$.

Note:The answer is not as sweet as M and G.

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