A square ABCD has area 9 is bisected. L is the midpoint of AB, M the midpoint of BC, N the midpoint of CD and O the midpoint of DA. These points are used to construct a new square LMNO. The same process is repeated on LMNO to construct a smaller square QRST (where Q is the midpoint of LM and so on).What is the perimeter of QRST?