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

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.