### Home > CCG > Chapter 7 > Lesson 7.2.1 > Problem7-56

7-56.

Sandra wants to park her car so that she optimizes the distance she has to walk to the art museum and the library. That is, she wants to park so that her total distance directly to each building is the shortest. Find where she should park. Homework Help ✎

Reflect the $50$ feet line across the street.

Draw a straight line from the library to point $C$.

Point $F$ is where Sandra should park her car.

Write an equation based on similar triangles to calculate the length $x$. If the length of the entire segment is $80$ and one piece is $x$, how can you label the other piece?