Problem
2023 Fermat Problem 24
Quadrilateral ABCD has \angle BCD = \angle DAB = 90^\circ. The perimeter of ABCD is 224 and its area is 2205. One side of ABCD has length 7. The remaining three sides have integer lengths. The sum of the squares of the side lengths of ABCD is S. What is the integer formed by the rightmost two digits of S?
If there are no answer choices shown, enter a numerical answer.
Full credit to this problem is given to the CEMC, you may view all Fermat contests here.
Want to contribute problems and receive full credit? Click here to add your problem!
Please report any issues to us in our Discord server
Go to previous contest problem (SHIFT + Left Arrow) Go to next contest problem (SHIFT + Right Arrow)
Problem feedback
Difficulty
—