\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
A rectangle has area 10 square units. It is transformed by the matrix \(\mathbf{A} = \begin{pmatrix} 3 & 1 \\ 2 & 4 \end{pmatrix}\).
Find the area of the rectangle image.
\(\text{Area}(S')=\)
square units