SOLUTION: I need help by solving this question: A length of a rectangle is 5 meters larger than its width. Find the range of the widths that result in a rectangle whose area is 204 square

Question 441188: I need help by solving this question:
A length of a rectangle is 5 meters larger than its width. Find the range of the widths that result in a rectangle whose area is 204 square meters.

Thank you!
Answer by shree840(260) (Show Source): You can put this solution on YOUR website!
width=x
length=x+5
area=x(x+5)
=x^2+5x=204
x^2+5x-204=0 204 factored =4*51=4*3*17
x^2+17x-12x-204=0
x(x+17)-12(x+17)=0
(x-12)(x+17)=0
x=12,-17 since width can not be negative
width =12
length=17 ANS
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