A Sidewalk in a Public Park Is to Be Constructed $A$

Short Answer

A sidewalk in a public park is to be constructed from a restroom at point $A$ to the street at point $C$ , and another sidewalk is to be constructed from point $C$ to a swimming pool at point $B$ . Distances are shown in the figure provided. Find the distance $x$ which will minimize the combined length of the two sidewalks. What is the total length of the sidewalk to be constructed?