Answer:
[tex]l = \frac{A}{\pi r}-2[/tex]
Step-by-step explanation:
A = 2πr + πrl
A - 2πr = 2πr + πrl - 2πr (subtracting both sides by 2πr)
A - 2πr = πrl
[tex]\frac{A - 2\pi r}{\pi r} = \frac{\pi rl}{\pi r}[/tex] (dividing both sides with πr)
[tex]\frac{A}{\pi r} - \frac{2\pi r}{\pi r} = l[/tex] (splitting LHS)
[tex]\frac{A}{\pi r}-2=l[/tex]
[tex]l = \frac{A}{\pi r}-2[/tex]
happy to help :)
