Now you have the base and the height. The base is and the
height is so
5 . B
Because PQRS is a parallelogram, opposite sides are equal and PS = 6.
Midpoint T divides that 6 into two 3s. The area of the parallelogram,
which is equal to the base times the height, is given as 24, and because
the base is 6, altitude must be 4. Put all this into the figure, and the
hidden special triangle reveals itself.
Now you can see that ∆PQT is a 3-4-5 right triangle and that PQ = 5.
Opposite sides are equal, so RS = 5, too, and the perimeter is 5 + 6 + 5 + 6