Help me pls Just choose the right answer

I assume that PTWS is a square.

If the length of PS is equals to SW, then the triangle PAB and PWR is similar.

Hence, the length of AB is √41

so the answer is D.


hope this is helpful,


ps: PWR is a isosceles triangle,
with a rule of pythagoras, we get WR is 2√41.
but PAB and PWR is similar, in ratio of 1:2
hence the length of AB is half of WR, it is √41

pss: i'm afraid that the moderators can not accept those very simple kind of answer