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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