Answer:
8
Step-by-step explanation:
Let s represent the length of the shorter base and height. Then (3/2)s is the length of the longer base.
The area formula for a trapezoid is ...
A = 1/2(b1 +b2)h
Filling in the given values, we have ...
80 = (1/2)(s +3/2s)s = 5/4s²
64 = s² . . . . . . . . . . . . . . . . . . . multiply by 4/5
8 = s . . . . . . . . . . . . . . . . . . . . . take the square root
The length of the shorter side is 8.
