Question

the equation $p = 2l+2w$ is used to find $p$, the perimeter of a rectangle, using the length ($l$) and the width ($w$) of the rectangle. what is an equivalent equation solved for $w$?
$w = p - 2l$
$w=\frac{p}{2}-2l$
$w=\frac{p - 2l}{2}$
$w = 2(p - 2l)$

Explanation:

Step1: Isolate the term with \(w\)

Start with \(P = 2l+2w\). Subtract \(2l\) from both sides: \(P - 2l=2w\).

Step2: Solve for \(w\)

Divide both sides of the equation \(P - 2l = 2w\) by 2. We get \(w=\frac{P - 2l}{2}\).

Answer:

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