Answer:
The length of the shorter base of the little trapezoid trail is 1 mi.
Step-by-step explanation:
Let the shorter base of the large trapezoid is S and the larger base of the large trapezoid is L.
Similarly, assume that the shorter base of the small trapezoid is s and the larger base of the small trapezoid is l.
Since, the trapezoids are similar, so
[tex]\frac{L}{l} = \frac{S}{s}[/tex]
Now, given that S = 2 mi, L = 8 mi and l = 4 mi and we have to find s.
So, [tex]s = \frac{S \times l}{L} = \frac{4 \times 2}{8} = 1[/tex] mi. (Answer)