Answer: l = A/πr - 2
Explanation:
The given equation is
A = 2πr + πrl
The first step is to subtract 2πr from the left hand side and the right hand side of the equation. It becomes
A - 2πr = 2πr + πrl - 2πr
A - 2πr = πrl
The next step is to divide the left hand side and the right hand side of the equation by πr. It becomes
(A - 2πr)/πr = πrl/πr
l = (A - 2πr)/πr
I = A/πr - 2πr/πr
I = A/πr - 2