Evaluate the surface area of the cone delimited by the plane

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Surface is the cone $z^2=x^2+y^2$ delimited by the plane $z=0$ and $x+2z=3$.

Well, the first thing I thought is to devide it in two parts, the one that is a simple cone and the other part. But I'm a bit lost of how do I find the proper parametrization for this surface.