The area of the trapezoid is 57.5 square inches.
If you draw out the description, you will see that your trapezoid can be divided into a rectangle that is 9 x 5 and an isosceles right triangle with a base of 5 and height of 5.
Just find the areas of both and add them together.
Rectangle:
5 x 9 = 45
Triangle:
0.5 x 5 x 5 = 12.5
45 + 12.5 = 57.5
