Question regarding parametric surfaces

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Suppose that r$_0(s)$, $s\in[0,L]$ is a smooth parametric curve contained in a plane $\pi$, where $s$ is the is the arc-length parameter. What is the area of the surface with parametric equations r$(s,u)=\ $r$_0s+u$n; $0≤s≤L, \ 0≤u≤s$, where n is a unit normal vector of the plane $\pi$?