# Chapter 2 - Equations, Inequalities, and Problem Solving - 2.3 Formulas - 2.3 Exercise Set: 19

$l=\dfrac{P-2w}{2}$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ To solve the given equation, $P=2l+2w$ for $l ,$ use the properties of equality to isolate the variable. $\bf{\text{Solution Details:}}$ Using the properties of equality to isolate the variable, the equation above is equivalent to \begin{array}{l}\require{cancel} P=2l+2w \\\\ P-2w=2l \\\\ \dfrac{P-2w}{2}=\dfrac{2l}{2} \\\\ \dfrac{P-2w}{2}=l \\\\ l=\dfrac{P-2w}{2} .\end{array}

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