A parallelogram is a shape with 4 sides where the 2 opposite sides are congruent or has the same measurements. The perimeter of a parallelogram is expressed as:
P = 2l + 2w
We take AD as the length, l, and AB as the width, w.
92 = 2(2w + 7) + 2w
92 = 4w + 14 + 2w
78 = 6w
w = 13 cm
l = 2w+7 = 33 cm