SOLUTION: if the length of each side of a square is doubled, the area is increased by 1875 in^2. Find the length of each side of the original square.

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: if the length of each side of a square is doubled, the area is increased by 1875 in^2. Find the length of each side of the original square.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1110934: if the length of each side of a square is doubled, the area is increased by 1875 in^2. Find the length of each side of the original square.
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.
The problem says 


%282x%29%5E2 - x%5E2 = 1875  sq. inches,


4x^2 - x^2 = 1875


3x^2 = 1875


x^2 = 1875%2F3 = 625  ====>  x = sqrt%28625%29 = 25 inches answer.