Midpoints of the Sides (Between the Lines of Geometric Brilliance)

Geometry Level 3

Let $$ABCD$$ be a quadrilateral. Let $$M_1 , M_2, M_3,$$ and $$M_4$$ be the midpoints of sides AB, BC, CD, DA, respectively. Given that $$M_1M_2 = 5$$ and $$M_2M_3 = 25$$, find the perimeter of quadrilateral $$M_1M_2M_3M_4$$.

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