We are given a part of a city map. We want to find the distance between 5th Avenue and City Mall along Union Street. Let x be that distance. Now, let's consider the given map. We will label the vertices with consecutive letters.
If a line is parallel to one side of a triangle and intersects the other two sides, then it divides the sides into segments of proportional lengths.
Since we are given that CD is parallel to BE, we can write a proportion.
AB/BC=AE/ED
We can find the length of AE by subtracting the length of ED from the length of AD. Let's do it!
AE = 3201 - 1056 ⇔ AE = 2145
Now, we can substitute the lengths of the segments into the proportion and solve for x.
