Answer
20.5 inches by 27.8 inches
Work Step by Step
$x*(x+7.3)=569.9$
$x^2+7.3x=569.9$
$x^2+7.3x-569.9=0$
$x=(-b±\sqrt {b^2-4ac})/2a$
$x=(-7.3±\sqrt {7.3^2-4*1*-569.9})/2*1$
$x=(-7.3±\sqrt {7.3^2+4*569.9})/2$
$x=(-7.3±\sqrt {53.29+2279.6})/2$
$x=(-7.3±\sqrt {2332.89})/2$
$x=(-7.3±48.3)/2$
We are talking about distances and want only the positive distance.
$x=(-7.3±48.3)/2$
$x=(-7.3+48.3)/2$
$x=41/2$
$x=20.5$