Answer
$w=6$
Work Step by Step
Substituting $P=50$ and $l=19$ in the given equation, $
P=2l+2w
,$ we obtain:
\begin{array}{l}\require{cancel}
50=2(19)+2w
\\\\
50=38+2w
\\\\
50-38=2w
\\\\
12=2w
\\\\
\dfrac{12}{2}=w
\\\\
w=6
.\end{array}
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