Question

the formula for the perimeter of a rectangle is $p = 2l + 2w$. solve the formula for $w$ in terms of $p$ and $l$.

Explanation:

Step1: Isolate the term with w

Subtract \(2l\) from both sides of the equation \(P = 2l+2w\).
\(P - 2l=2l + 2w-2l\)
\(P - 2l = 2w\)

Step2: Solve for w

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

Answer:

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