Originally Posted by

**Jonboy** 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 $\displaystyle x\sqrt{2}$

Then I would do: $\displaystyle 4x\,+\,4x\sqrt{2}\,=\,100$

$\displaystyle x(4\,+\,4\sqrt{2})\,=\,100$

$\displaystyle x\,=\,25\,+\,25\sqrt{2}$

Is this fundamentally sound answer? Thanks all.