So here is the solution of the given problem above.
To find the area we are just going to use this formula. A = L x W.
Let x be the width and 2x is the length. Given that the area is 8 square meters. So let us find x first.
Plug in the values:
8 = (2x)(x)
8 = 2x^2 << divide both sides by 2 and we get
4 = x^2
Then square 4 and x^ 2 and we got
2 = x
Therefore, the width of the room is 2 meters and the length 2x is 4 meters. Hope this is the answer that you are looking for.