Question 326997
let length be x inches
width will be x-9 inches
area = 322 sq. in
Area = L*W
x(x-9)=322
{{{x^2-9x=322}}}
add-322 to both sides
{{{x^2-9x-322=322-322}}}
{{{x^2-9x-322=0}}}
{{{x^2-23x+14x-322=0}}}
{{{x(x-23)+14(x-23)=0}}}
(x-23)(x+!4)=0
x=23 OR -14
ignore the negative value
length = 14 inches
width = 14-9=5 inches