CAT Exam Model Paper 7 with solutions for free online practice

Let PS = x cm and PU = k cm
Now ST || PR
⇒∠STQ = ∠PRQ = α degree (say)
Also, since PQ = PR,
∠PQR = ∠PRQ = α degre
Therefore in ∆SQT :
∠SQT = ∠STQ = α degree and hence,
SQ = 10- x = ST = k
Since PSTU is a parallelogram, PU = ST.
Perimeter (PSTU) = 2k + 2x = 2(10 - x) + 2x = 20 cm.
Alternate Solution:
Take S and T at Q. Perimeter will be 10 + 0 + 10 + 0= 20 cm.