The area of parallelogram ABCD is 51\sqrt{55} and \angle DAC is a right angle. If the side lengths of the parallelogram are integers, what is the perimeter of the parallelogram?
The area of parallelogram ABCD is 51\sqrt{55} and \angle DAC is a right angle. If the side lengths of the parallelogram are integers, what is the perimeter of the parallelogram?