The given quadrilateral PQRS can be drawn as follows:

Step 1: Draw a line segment QR = 7.5 cm.

Step 2: With 10 cm from Q draw an arc.

Step 3: From R take radius of 5 cm and cut the arc drawn in step 2 and the point of intersection be S.

Step 4: Draw another arc from R at radius of 6 cm.

Step 5: Now, take 6 cm from S and cut the arc drawn in step 4 and the point of intersection of arcs is P.

Step 6: Now, join PR and PS

PQRS is the required quadrilateral.