Answer
26.055 inches by 46.055 inches
Work Step by Step
$x*(x+20)=1200$
$x^2+20x=1200$
$x^2+20x-1200=0$
$x=(-x±\sqrt {b^2-4ac})/2a$
$x=(-20±\sqrt {20^2-4*1*-1200})/2*1$
$x=(-20±\sqrt {400+4800})/2$
$x=(-20±\sqrt {5200})/2$
$x=(-20±\sqrt {4*1300})/2$
$x=(-20±2\sqrt {1300})/2$
$x=(-10±\sqrt {1300})$
We are talking about distances, so we only want the positive square root.
$x=(-10±\sqrt {1300})$
$x=(-10±36.055)$
$x=-10+36.055$
$x=26.055$
