Question 970654
A= (1/2)h (b1+b2)
Substitute
63 in^2= (1/2)*9in (8+b2)in   the units are in^2 on both sides.

Multiply by 2
126=9 *(8+b2)

divide both sides by 9

14=8 + b2
subtract 8 from both sides

6=b2

The other base is 6 inches.
The average of the two bases, 6 and 8, is 7
Their sum is 14
14*9=126; half of that is the area, or 63.  Check