Let's begin by listing out the given information:
scale factor = 4.99
This means that the shape was enlarged by 4.99 to obtain a new shape
[tex]ScaleFactor=\frac{New}{Old}=4.99[/tex]The formula for the area of a cylinder is given by:
[tex]\begin{gathered} A=2\pi rl \\ r\rightarrow4.99r \\ l\rightarrow4.99l \\ \Rightarrow A_{new}=2\pi\cdot4.99r\cdot4.99l \\ A_{new}\colon A\Rightarrow2\pi\cdot4.99r\cdot4.99l\colon2\pi rl \\ \Rightarrow AreaFactor=4.99\cdot4.99=24.9001\approx24.90 \\ AreaFactor=24.90 \end{gathered}[/tex]Area factor = 24.90 (2 decimal places)
