College Algebra

A rectangular garden is 20 ft longer than it is wide. Its area is 8000 ft{}^2. What are its dimensions?

w(w+20) = 8000
w^2+20w = 8000
w^2+20w-8000 = 0
(w-80)(w+100) = 0

w-80 = 0
w=80

or

w+100 = 0
w = -100

I think that x=80 makes more sense. However what would the length be if the width is equal to 80 in this problem ? please help Im stuck and am not sure what the final answer for this question would be.

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asked by Anonymous

  1. Excuse me? You already know that the length is 20 more than the width.

    So, if the width is 80, the length is 100.

    Sure enough, 80*100 = 8000

    Or, since you know the width is 80, and area = length*width

    8000 = 80 * length
    length=100

    Don't forget your algebra I now that you're taking college algebra.

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    posted by Steve

  2. Thank You. I guess I was over thinking the problem a bit!lol It's my first semester and everything's so new.

    Thanks so much again

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    posted by Anonymous

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