# A geometry problem by Charuka Bandara

Geometry Level pending

$$E$$ and $$N$$ are points on the sides $$DC$$ and $$DA$$ of the square $$ABCD$$ such that $$AN : ND : DE = 2 : 3 : 4.$$ The line through $$N$$ perpendicular to $$BE$$ cuts $$BE$$ at $$P$$ and $$BC$$ at $$M$$. $$AC$$ cuts $$MN$$ at $$O$$ and $$BE$$ at point $$S$$. What fraction of the area of $$ABCD$$ is the area of triangle $$OPS$$?

Give your answer to the first decimal place.

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