Question

the formula for the perimeter of a rectangle is ( p = 2l+2w ), where ( l ) is the length of the rectangle and ( w ) is the width. you are given the perimeter and the width of a rectangle and you wish to solve for length. which of the following formulas is the correct solution for the length of the rectangle?
choose the correct answer below.
( \bigcirc a. l=\frac{p}{2}-w )
( \bigcirc b. l=\frac{p}{2}+w )
( \bigcirc c. l=\frac{p - w}{2} )

Explanation:

Step1: Isolate the term with \( L \)

Given \( P = 2L+2W \), subtract \( 2W \) from both sides:
\( P - 2W=2L \)

Step2: Solve for \( L \)

Divide both sides by \( 2 \):
\( L=\frac{P}{2}-W \)

Answer:

A. \( L = \frac{P}{2}-W \)