Mathematics

# if a storm windows has an area of 315 square inches, what are the dimensions if the window is 6 inches higher than it is wide (w x h)

$hw=315\\ h=w+6\\ (w+6)w=315\\ w^2+6w-315=0\\ w^2+21w-15w-315=0\\ w(w+21)-15(w+21)=0\\ (w-15)(w+21)=0\\ w=15 \vee w=-21\\\\ h=15+6=21\\\\\ w=15 \ in\\ h=21\ in\\$