Answer
37.4 feet long and 38.5 feet tall
Work Step by Step
$x*(1.1+x)=1439.9$
$1.1x+x^2=1439.9$
$x^2+1.1x-1439.9=0$
$x=(-b±\sqrt {b^2-4ac})/2a$
$x=(-1.1±\sqrt {1.1^2-4*1*-1439.9})/2*1$
$x=(-1.1±\sqrt {1.21+4*1439.9})/2$
$x=(-1.1±\sqrt {1.21+5759.6})/2$
$x=(-1.1±\sqrt {5760.81})/2$
$x=(-1.1±75.9)/2$
We want only the positive value of the square root (and $x$) since we are talking about distances.
$x=(-1.1±75.9)/2$
$x=(-1.1+75.9)/2$
$x=74.8/2$
$x=37.4$
