Answer
6.22 feet by 15.44 feet
Work Step by Step
$x*(2x+3)=96$
$2x^2+3x=96$
$2x^2+3x-96=96-96$
$2x^2+3x-96=0$
A graphing calculator shows $x=-7.72$ and $x=6.219$; however, we can't have a negative length.
$x*(2x+3)= 96$
$6.22*(2*6.22+3)=96$
$6.22*(12.44+3)=96$
$6.22*15.44=96$
$96.0368 \approx 96$ (due to rounding)
