So, what you want to do is separate the figure into two pieces that are easier to work with. You can cut the figure into a triangle and a rectangle from the lower end of the 5 inch side to the 11 inch side From there it is just two equations. The rectangle would be 4inx8in which is 32in^2. The triangle would have a height of 4in and a length of 11in-8in which is equal to 3in which makes the equation 4x3 then divided by 2 which equals 6in^2. You just add the two results to get the total area which is 38in^2
