SOLUTION: when the sides of a square are lengthened by 7cm, the area becomes 196cm^2. find the length of the original square.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: when the sides of a square are lengthened by 7cm, the area becomes 196cm^2. find the length of the original square.      Log On


   

Question 510153: when the sides of a square are lengthened by 7cm, the area becomes 196cm^2. find the length of the original square.
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the length of the side of the original square.
x%2B7%29%28x%2B7%29+=+196
%28x%2B7%29%5E2+=+196 Take the square root of both sides.
x%2B7+=+14
x+=+7