Answer
Length : $111$ feet
Width: $37$ feet
Work Step by Step
Let the length and width of the rectangular warehouse be $l$ and $w$
Given,
Perimeter of the rectangular warehouse is $296$ feet
$2(l+w)= 296$
$l+w=148$ Equation $(1)$
Length is $3$ times the width
$l = 3w$
Substituting $l = 3w$ in Equation $(1)$
$3w+w=148$
$4w=148$
$w=37$ feet
Substituting $w$ value in Equation $(1)$
$l+w=148$
$l+37=148$
$l=148-37$
$l=111$ feet