hyperbolic n-gon with geodesic edges and area 7

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I got stuck solving this following problem:

For which $n\geq 3$ exists a hyperbolic n-gon with geodesic edges and surface area 7?

I know the following things:

the sum of the outer angles of a n-gon is equal to 2$\pi$. And the sum of the inner angle of a n-gon is equal to: $(n-2)\pi$

I also know the Gauss-Bonnet Theorem.

Unfortunately, I don't know how to get further.