Larry wants to buy some carpeting for his living room the length of the room is 2 times width and the total area of the room is 8 square meters what is the length of the living room

Draw a diagram!  Lets say the width is x, then the length must be 2x.
   
                       Area = length x width
                          2x x  x    = 8sq meters
                         2x^2       = 8
                          x^2        =4
                           x      =  √4
                            x    = 2

we found the width the length is two times the width, making it 4 meters.

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This does not make sense