SOLUTION: If PQRS is a rectangle, PR=9x+1, and QS=13x-11, find x.

Algebra ->  Polygons -> SOLUTION: If PQRS is a rectangle, PR=9x+1, and QS=13x-11, find x.      Log On


   

Question 1109640: If PQRS is a rectangle, PR=9x+1, and QS=13x-11, find x.
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
PR and QS are the diagonals of the rectangle. The diagonals in a rectangle are always equal, so:

9x + 1 = 13x - 11
12 = 4x

x = 3.