SOLUTION: Each side of a square is increased 4 inches. When this happens, the area is multiplied by 9. How many inches in the side of the original square?

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Each side of a square is increased 4 inches. When this happens, the area is multiplied by 9. How many inches in the side of the original square?      Log On


   

Question 1026595: Each side of a square is increased 4 inches. When this happens, the area is multiplied by 9. How many inches in the side of the original square?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
Each side of a square is increased 4 inches. When this happens, the area is multiplied by 9. How many inches in the side of the original square?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

%28x%2B4%29%5E2 = 9x%5E2.

It is what you are given.

Take the square root from both sides. You will get

x + 4 = 3x, or 2x = 4, or x = 2 in.

Check it.