SOLUTION: the rectangular air filter 4 inches less than twice the width Find the length and width of the filter with with a area of 336 square inches

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Question 694149: the rectangular air filter 4 inches less than twice the width Find the length and width of the filter with with a area of 336 square inches
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Area = Length * width
let length be l
and width be w
w= 2l-4
So l(2l-4)=336
2l^2-4l=336
/2
l^2-2l=168
l^2-2l-168=0
l^2-14l+12l-168=0
l(l-14)+12(l-14)=0
(l-14)(l+12)=0
l=14 or l=-12
length cannot be negative
so
l=14
width = 336/14
=24
l= 14 inches
width = 24