You have a square and a circle, and they have the same area.

You should know that the perimeter of a square is and the circumference of a circle is .

When you add them, you have the length of the wire, so

.

The area of a square is and the area of a circle is .

Since the areas are equal, that means

or .

Substituting this back into the length of the wire formula gives

.

Since that means

.

So the two pieces of wire are...

and

.

Of course, all units are in inches.