100 Follower Special

Geometry Level 5

\(ABCDEFG\) is a regular heptagon with centre \(O\). Let there be an incircle in \(\triangle ODE\) with centre \(P\), and let the point of tangency of the incircle and the line \(ED\) be \(Q\).

Given that the side length of the heptagon is 5, find the area of \(PBQG\) correct to 2 decimal places.

Try the 50 follower special.
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