Trapezoid qrst has two right angles. a 5in. altitude can be drawn dividing qrst into a rectangle and an isosceles right triangle. the longer side of the rectangle measures 9 in. what is the area of the trapezoid?

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