To solve for \( l \) in the equation \( P = 2(l + b) \), follow these steps:
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Start with the original equation: \[ P = 2(l + b) \]
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Divide both sides by 2 to isolate \( l + b \): \[ \frac{P}{2} = l + b \]
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Subtract \( b \) from both sides to solve for \( l \): \[ l = \frac{P}{2} - b \]
So, the length \( l \) of the rectangle is given by: \[ l = \frac{P}{2} - b \]