Question

30 POINTS! Please help me with 8th grade math - Question is below

Heidi hikes two trails, the Big Trapezoid and the Little Trapezoid. The shorter base of the Big Trapezoid is 2 mi long, while the longer base is 8 mi. The longer base of the Little Trapezoid is 4 mi long. The trails are similar shapes.


What is the length of the shorter base of the Little Trapezoid trail?

_____ miles

Thanks! Please give me an explanation of why your answer may be correct :D

Answer 1

Since they are similar, their corresponding sides are proportional. So (8/4)=2/x
Solving, x=1 mile.

Answer 2

well, the question says that the longer base of the big trapezoid is 8 mi and the longer base of the little trapezoid is 4 mi. so you can say:
8/4 = 2
so if the shorter one of the big trapezoid is 2 then the shorter one of the little trapezoids will be:
2/2 = 1 :)))
I hope this is helpful
have a nice day