SOLUTION: if we decrease a side of a square to 50 % then how much area should be increased so that it will be equal to the first side?

Algebra ->  Surface-area -> SOLUTION: if we decrease a side of a square to 50 % then how much area should be increased so that it will be equal to the first side?      Log On


   

Question 817113: if we decrease a side of a square to 50 % then how much area should be increased so that it will be equal to the first side?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Before change, x=y, and area is xy.

After change, x%2F2 and k%2Ay are the new values for the sides and this is now a rectangle. k is a factor applying to y.

xy=%28x%2F2%29%28ky%29
xy=xy%281%2F2%29k
k=2