Hello I just want to verify this answer:

Two square wire frames are to be constructed from a piece of wire 100 inches long. If the area enclosed by one frame is to be one-half the area enclosed by the others, find the dimensions of each frame. (Disregard the thickness of the wire)

So each sides on the square of smaller area is x

Each sides on the be bigger square would have to be

Then I would do:

Is this fundamentally sound answer? Thanks all.