SOLUTION: The length of a rectangle is twice the width. The area is 648 yd squared. What is the length and width? Please help

Question 176178: The length of a rectangle is twice the width. The area is 648 yd squared. What is the length and width?
Please help
Answer by EMStelley(208) (Show Source): You can put this solution on YOUR website!
Call the width of the rectangle w. Then the length can be represented by 2w. Since the area is 648, we have that

So, divide by 2:

Now, take the square root of both sides:
or
(There are always two solutions to a quadratic equation).
Now, since we are dealing with the width of a rectangle here, negative numbers do not make sense. So the width is 18 yd. Then, since the length is 2w, the length is 2(18)=36 yd.
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