A parametrization maps a rectangle of size \(0.01 \times 0.02\) in the \(u v\)-plane onto a small patch \(\mathcal{S}\) of a surface. Estimate \(\operatorname{area}(\mathcal{S})\) if \(\mathbf{T}_{u} \times \mathbf{T}_{v}=\langle 1,2,2angle\) at a sample point in the rectangle.