SOLUTION: Hi, I have a question. It is a word problem I am to state as a quadratic equation. I can use one of three methods: factoring, completing the square, or the quadratic formula.

Question 711733: Hi,
I have a question. It is a word problem I am to state as a quadratic equation. I can use one of three methods: factoring, completing the square, or the quadratic formula.
The problem is:
The length of a rectangle is 2 1/2 times its width. Its area is 90 square units. What are its dimensions? (Hint: length x width = area)
Let w = width in units
(2 1/2)w = 5w/2 = length in units
Thanks,
Amber
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the width
= length

---------------
given:
square units

----------------
Divide both sides by

You can apply the quadratic formula

and

------------------------

and also

You can disregard the negative solution since
you don't have negative lengths, so

The width is 6 units
The length is 15 units

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