Algebra... or Geometry?!

Geometry Level 3

Given that positive real numbers x,y and z satisfy following conditions.

\(x^{2}+xy+\frac{y^{2}}{3}=25\)

\(\frac{y^{2}}{3}+z^{2}=9\)

\(z^{2}+zx+x^{2}=16\)

Find the value of \(\sqrt{3}\)(xy+2yz+3zx)

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