SOLUTION: When the length of each side of a square is increased by 7in.,its area is increased by 189 in.2.Find the length of the side of the original square.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: When the length of each side of a square is increased by 7in.,its area is increased by 189 in.2.Find the length of the side of the original square.      Log On


   

Question 1095760: When the length of each side of a square is increased by 7in.,its area is increased by 189 in.2.Find the length of the side of the original square.
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!

Re-stated: (x+7) squared is 189 more than x squared. So
%28x%2B7%29%5E2+=+x%5E2+%2B+189
x%5E2%2B14x%2B49+=+x%5E2%2B189
14x+=+140
x+=+10

The original square had side length 10.