In a triangle $$ABC$$, a point $$D$$ on $$AB$$ is such that $$AD\colon AB=1\colon4$$ and $$DE$$ is parallel to $$BC$$ with $$E$$ on $$AC$$. Let $$M$$ and $$N$$ be the mid points of $$DE$$ and $$BC$$ respectively. What is the ratio of the area of the quadrilateral $$BNMD$$ to that of triangle $$ABC$$?

A

$$\frac14$$

B

$$\frac{9}{32}$$

C

$$\frac{7}{32}$$

D

$$\frac{15}{32}$$