The answer is 10m.
Basically, you just find the area like you would for any other quadrilateral. I divided the graph into a rectangle and triangle by drawing a vertical line at 0.5s. The rectangle's area is 10 * 0.5 = 5, and the triangle's area is 0.5(1 * 10) = 5. Add them together to get 10.
The units of the answer is meters. This is because you multiplied meters per second by seconds, so you're left with meters. 10 meters is the distance travelled by the object over the time interval from 0s to 1.5s