Find the new dimentions of the enlarged picture multiplying the length of each side by the scale factor of 2.5:
[tex]\begin{gathered} 5in\times2.5=12.5in \\ 8in\times2.5=20in \end{gathered}[/tex]Now, multiply width times height to find the area of the picture (assuming that it has a rectangular shape):
[tex]12.5in\times20in=250in^2[/tex]Therefore, the area of the enlarged picture will be 250 squared inches.