# Points of Authority

Geometry Level pending

Consider the rectangle $$ABCD$$ and points $$M, N, O, P$$ on the segments $$\overline{AB}$$, $$\overline{BC}$$, $$\overline{CD}$$ and $$\overline{AD}$$, respectively.

$$MO$$ and $$NP$$ are perpendicular to each, intersecting at the point $$X$$.

If $$\left [ AMXP \right ] = 6, \left [ PXOD \right ]= 8$$ and $$\left [ MBNX \right ] = 18$$ , evaluate $$\left [ MNOP \right ] + \left [ ABCD \right ]$$.

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