Answer
$l=19$
Work Step by Step
Given Information: perimeter formula is $P=2l+2w$, $P=46$ inches, $w=4$ inches, and $l$ is unknown.
$P=2l+2w$
$46=(2l)+(2\times4)$
$46=2l+8$
$38=2l$
$l=19$
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