SOLUTION: DEFG is a square with diagonals GE and DF. If GE=10-2x and DF=2+2x find the value of x

Algebra ->  Rectangles -> SOLUTION: DEFG is a square with diagonals GE and DF. If GE=10-2x and DF=2+2x find the value of x      Log On


   

Question 569370: DEFG is a square with diagonals GE and DF. If GE=10-2x and DF=2+2x find the value of x
Answer by IWork4Dessert(60) About Me  (Show Source):
You can put this solution on YOUR website!
Since you know that DEFG is a square, you also know that both its diagonals are going to be equal. All you have to do here is set up an equation and solve it.
10-2x=2+2x
Subtract 2 from both like terms.
8-2x=2x
Add 2x to the other side to get the variable alone.
8=4x
Divide both sides by 4.
x=2
Hope this helps(: