<PRE><B>Question 949244</B>
W=width; L=length=3W+6; A=L*W=24 sq ft
A=L*W Substitute for L
{{{24 sq ft=(3W+6)*W}}}
{{{24 sq ft=3W^2+6W }}}
{{{24 sq ft=3(W^2+2W)}}} Divide each side by 3
{{{8 sq ft=W^2+2W}}}  Subtract 8 sq ft from each side
{{{0=W^2+2W-8 sq ft}}}
*[invoke quadratic &quot;W&quot;, 1, 2, -8 ]
Here we need the positive answer, so ANSWER 1: The width is 2 feet.
L=3W+6 feet=3(2 feet)+6 feet=6 feet+6 feet=12 feet  ANSWER 2: the length is 12 feet
CHECK:
Area is 24 sq ft
24 sq ft=L*W
24 sq ft=12 feet*2 feet
24 sq ft=24 sq ft
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