Question

1. the formula for the perimeter of a rectangle is $p = 2l + 2w$, where $p$ is the perimeter, $l$ is the length of the rectangle, and $w$ is the width. solve for $l$ in the equation. enter your next step here

Explanation:

Step1: Subtract \(2w\) from both sides

To isolate the term with \(l\), we subtract \(2w\) from both sides of the equation \(P = 2l+2w\). This gives us \(P - 2w=2l\).

Step2: Divide both sides by 2

Now, to solve for \(l\), we divide both sides of the equation \(P - 2w = 2l\) by 2. Using the division property of equality, we get \(\frac{P - 2w}{2}=l\), which can also be written as \(l=\frac{P - 2w}{2}\) or \(l=\frac{P}{2}-w\).

Answer:

\(l=\frac{P - 2w}{2}\) (or \(l=\frac{P}{2}-w\))