SOLUTION: Each side of a square is increased 4 inches. When this happens, the area is multiplied by 16. 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 16. How many inches in the side of the original square?      Log On


   

Question 1162524: Each side of a square is increased 4 inches. When this happens, the area is multiplied by 16. How many inches in the side of the original square?
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

The problem says


    %28x%2B4%29%5E2 = 16x^2.


Take the square root of both sides.  You will ger


    x + 4 = 4x.


    4 = 4x - x

    4 = 3x

    x = 4%2F3 inches.    ANSWER

Solved.