A geometry problem by Ajay Sambhriya

Geometry Level 2

The above shows a square \(ABCD\) of side length 12.

The points \(M\) and \(N\) are on the side length \(AB\) such that \(AM=MN = NB \).

Find the ratio of areas between the triangle \(NOM\) and the triangle \(DOC \).

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