ANSWER
[tex]125.7in^2[/tex]EXPLANATION
The lateral area of a cylinder is given as:
[tex]A=2\pi rh[/tex]where r = radius; h = height
Therefore, the lateral area for the given cylinder is:
[tex]\begin{gathered} A=2\cdot\pi\cdot5\cdot4 \\ A=125.7in^2 \end{gathered}[/tex]