The amount of area covered by the surface of something is known aa surface are for that object.
Slant height of cone is [tex]s=\frac{113-4n}{4}[/tex]
Since, the surface area of cone is given by,
S = nr + rs
where r is the radius and s is the slant height.
Separate slant height s from above expression
[tex]S = nr + rs\\\\rs=S-nr\\\\s=\frac{S-nr}{r}[/tex]
substituting S=113 square feet and r = 4 feet
we get, Slant height [tex]s=\frac{113-4n}{4}[/tex]
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