Using pythagorean theorum I already found that BP=PT=12, AS=24, QT=9, QS=7, by similar triangles I'm pretty sure QD=11 2/3 and SD=9 1/3, but not sure how to find the sidelengths I should find. Thanks in advance!

QR - RD = 2/3.

could you please explain a bit?

ok, I realized AQS and ARD are similar triangles so I solved the problem! thanks to anyone who tried to help