PICTURE IT
Whenever you come to a geometry question with no figure, a sketch can make an abstract-
looking problem concrete and manageable.
The fourth vertex has a y-coordinate of 4, so it must be somewhere along the line y = 4:
That will make the top and bottom sides of the trapezoid the parallel bases. The formula for the
area of a trapezoid is
Here it’s given that the area is 35, and you can see from the figure that one base is 7 and the height is
also 7. That’s enough to solve for the other base: