The area of a trapezium side is (5 + 13) /2 * 6 = 54cm2. So the area of both trapezium sides is 108cm2.
The four rectangle sides all have the same width, so they have an area of 3 * (9 + 5 + 8 + 13) = 105cm2.
So the total surface area of the figure is 213cm2!
