SOLUTION: a rectangle is four times as long as it is wide. its area is 9 square meters. what is it dimensions?

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Question 130597This question is from textbook
: a rectangle is four times as long as it is wide. its area is 9 square meters. what is it dimensions? This question is from textbook

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
If the width is x, then the length must be 4x, and the area must be x * 4x.

x%2A4x=9

4x%5E2=9

x%5E2=9%2F4

x=sqrt%289%2F4%29

x=sqrt%289%29%2Fsqrt%284%29

x=3%2F2 (ignore the negative square roots because we are looking for a length measure)

So the width is 3%2F2 meter. That means the length is 4%283%2F2%29=6 meters.

Check the answer:

6%283%2F2%29=3%2A3=9 answer checks.