The formula for the frequency of the pendulum is w2=g/l
if you wish to double your period w1, you want to have w2 =
2*w1
The needed length of the pendulum is then l2 = g / w22 = g /(4 *
w12) = 0.25 * g / w12 = 0.25 * l1
l2 / l1 = 1/4
You must shorten the length of the pendulum to 1/4 of its former
size.