# Triangles and Pentagon inside Pentagon

Geometry Level 4

There are triangles and a regular pentagon inside the regular pentagon $$ABCDE$$.

Let $$M$$ denote the area of regular pentagon shaded in blue, and
$$N$$ denote the total area of five triangles shaded in brown.

Find $$\displaystyle \left \lfloor \frac{1000N}{M}\right \rfloor$$.

Edit: just found that there is a similar problem here.

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