SOLUTION: The area of a rectangle is 90 ft^2. The length is 3 more than twice the width. What are the demensions of the rectangle?

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Question 196798: The area of a rectangle is 90 ft^2. The length is 3 more than twice the width. What are the demensions of the rectangle?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let x represent the width of the rectangle. Then the length of the rectangle must be 2x + 3. Since the area of a rectangle is length times width:



so:



Solve the quadratic. Hint: It factors rather tidily. Exclude the negative root because you are looking for a positive measure of length. The positive root will give you the width and the length follows from the given relationship between length and width.

John