Find the new dimentions of the enlarged picture multiplying the length of each side by the scale factor of 2.5:
![\begin{gathered} 5in*2.5=12.5in \\ 8in*2.5=20in \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/ihrnt9a786cmcbtbrkgtmvhbhkxeqyu2ev.png)
Now, multiply width times height to find the area of the picture (assuming that it has a rectangular shape):
![12.5in*20in=250in^2](https://img.qammunity.org/2023/formulas/mathematics/high-school/h22z7o5grk63byafu3gi5txqwluc2jnwbg.png)
Therefore, the area of the enlarged picture will be 250 squared inches.