A surface \(\mathcal{S}\) has a parametrization \(\Phi(u, v)\) with rectangular domain \(0 \leq u \leq 2,0 \leq v \leq 4\) such that the following partial derivatives are constant:

\[
\frac{\partial \Phi}{\partial u}=\langle 2,0,1angle, \quad \frac{\partial \Phi}{\partial v}=\langle 4,0,3angle
\]

What is the surface area of \(\mathcal{S}\) ?