FERMAT 2023 Problem 24

Quadrilateral A B C D has \angle B C D=\angle D A B=90^{\circ}. The perimeter of A B C D is 224 and its area is 2205 . One side of A B C D has length 7 . The remaining three sides have integer lengths. The sum of the squares of the side lengths of A B C D is S. What is the integer formed by the rightmost two digits of S ?