SOLUTION: The width of a rectangle is 9 inches less than its lenght. If the area of the rectangle is 322 square inches what is its width?

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Question 326997: The width of a rectangle is 9 inches less than its lenght. If the area of the rectangle is 322 square inches what is its width?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let length be x inches
width will be x-9 inches
area = 322 sq. in
Area = L*W
x(x-9)=322
x%5E2-9x=322
add-322 to both sides
x%5E2-9x-322=322-322
x%5E2-9x-322=0
x%5E2-23x%2B14x-322=0
x%28x-23%29%2B14%28x-23%29=0
(x-23)(x+!4)=0
x=23 OR -14
ignore the negative value
length = 14 inches
width = 14-9=5 inches