The formula for the Surface area (A) of a the cylinder given the base area and the lateral area is,
[tex]A=2B+L[/tex]Given:
[tex]\begin{gathered} B=50.24ft^2 \\ L=75.36ft^2 \end{gathered}[/tex]Therefore,
[tex]A=2(50.24)+75.36=175.84[/tex]Hence, the answer is
[tex]175.84ft^2[/tex]