2006 AIME I Problem 1

In quadrilateral ABCD , \angle B is a right angle, diagonal \overline{AC} is perpendicular to \overline{CD}, AB=18, BC=21, and CD=14. Find the perimeter of ABCD.

Leading zeroes must be inputted, so if your answer is 34, then input 034

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.