The relation of parallelograms standing on the same base and lying between the same parallel lines

Example A: PQRS and PQTU are parallelograms on the same base PQ, and their top vertices R, S, T and U all lie on one line parallel to PQ. The area of PQRS is \( 54 \text{ cm}^2 \) and \( PQ = 9 \text{ cm} \). Find the area of PQTU and the distance between the parallel lines.