Question 4
The shape of a factory is a rectangle $PQRS$ with $PS=44$ m and $RS=40$ m. The factory is divided into 5 rooms: I, II, III, IV and V, as shown in the diagram below. The perimeters of rooms II, III and IV are all equal. Also, it is known that rooms I and III as well as rooms V and III form a square, what is the sum of the perimeter, in m, of rooms I and V?
