SOLUTION: Word problem: A rectangle table in Arlo's House of Tunes is six times as long as it is wide. If the area of the table is 24ft^2, find the length and the width of the table. My ques

Question 682517: Word problem: A rectangle table in Arlo's House of Tunes is six times as long as it is wide. If the area of the table is 24ft^2, find the length and the width of the table. My question: how do i set this up into a polynomial equation? please and thank you :)
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
w = 6l
a = 24
...
knowing a = l*w
24 = 6l*l
24 = 6l^2
...

6(l^2-4)=0
6(l+2)(l-2)=0
l+2=0, so l=-2 ==> cannot have a negative length
l-2=0, os l=2 ==> this is length
...
w = 6l = 6*2 = 12
...
ft and ft
.....................
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