GATE EC 2022 Set 1 Q3 — General Aptitude

A trapezium has vertices marked as $\text{P, Q, R}$ and $\text{S}$ (in that order anticlockwise). The side $\text{PQ}$ is parallel to side $\text{SR}.$

Further, it is given that, $\text{PQ = 11 cm, QR = 4 cm, RS = 6 cm}$ and $\text{SP = 3 cm.}$

What is the shortest distance between $\text{PQ}$ and $\text{SR (in cm)}?$