A room measures 11*10 units. A rug fits diagonally into the room and touches the 4 walls. It's length is double it's width. What are the dimensions of the rug ? I drew a diagram and let 11-n, 10-c and 2x represent the values of the triangle newly formed. 2x represents the hypotenuse. I worked with another triangle , the three sides are represented by n, c and x the latter is the hypotenuse . Again , use pythagoras and solve for the 2 equations that = a common x value, say 4x sqrd. Am I on the correct road ? Cheers.