If points (6,0), (0,0), (0,2), and (a,2) are consecutive vertices of a trapezoid of area 7.5, what is the value of a?
Backsolve this. If a is 2.5, like choice C says, then your trapezoid looks like this:
I put the dashed line in there to make it easier to see how you can calculate the area without remembering any trapezoid area formula: just break it into a triangle and a rectangle! You’ll find that the area of that trapezoid is 8.5, which is too big. So go smaller.
Because I know I want a .5 at the end of my area, I decided to skip 2 and go straight to 1.5 for a. Lo and behold, that works!