Question

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

Explanation:

Step1: Isolate term with l

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

Step2: Solve for l

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

Answer:

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