Midpoint Theorem

Geometry Level 5

In trapezium \(ABCD\), \(AB||CD\) and \(AB=2CD\). \(M,N\) are the midpoints of \(AC\) and \(BD\) respectively. Let the perimeter of \(ABCD\) be \(a\) and the perimeter of quadrilateral \(CDMN\) be \(b\). Find \(a\div b\).

Give your answer to 3 decimal places.

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