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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