The midpoints of the adjacent sides of a square are connected to form a new square. What is the number of inches in the perimeter of the new square if the perimeter of the original square is 36 inches? Express your answer in simplest radical form.
Original side length 36/4 = 9 in
PYTHAG THEOREM TO FIND NEW SIDE LENGTH = sqrt ( 4.5^2 + 4.5^2 ) = sqrt 40.5 in
New perimeter = 4 * sqrt 40.5 inches