P=2(l+b)

solve for l, the langth of the rectangle

1 answer

To solve for \( l \) in the equation \( P = 2(l + b) \), follow these steps:

  1. Start with the original equation: \[ P = 2(l + b) \]

  2. Divide both sides by 2 to isolate \( l + b \): \[ \frac{P}{2} = l + b \]

  3. Subtract \( b \) from both sides to solve for \( l \): \[ l = \frac{P}{2} - b \]

So, the length \( l \) of the rectangle is given by: \[ l = \frac{P}{2} - b \]