The length of the rectangle is the 2 diagonals from the squares.

The width of the rectangle is 1 diagonal.

So 6 diagonals would equal the perimeter of the rectangle. We know the perimeter is 18root2.

18root2 / 6 = 3root2

each diagonal is 3root 2 and that means that each side of the squares is equal to 3. (because the diagonal of a square is length of side*root2)

Perimeter of square would equal 3 x 4 = 12

B

Great explanation. I was making it much more complicated than it was.

Thanks.

Let assume that side of the square = x

then Perimeter of square 1 + perimeter of square 2 - the sides of the square inside the rectangle = perimeter of rectangle

So 4x+ 4x - 2x = 18 root(2)
6x= 18 root (2)
x = 3 root (2)

Perimeter of square = 4x = 12 root (2)
ans C
Correct me if I'm wrong

or from the diagram you can just say

6x = perimeter of the rectangle
6x = 18 root (2)

perimeter of square = 4x = 12 root (2)

The image would look like this:

[/img]

GOT IT ...THANKS!!