Five friends live on the same street. Their houses are at points A,B,C,D and E with the distances shown.
https://latex.artofproblemsolving.com/e/4/7/e477d03d5ac701506ce83b6222641c2294bd93b5.png
The five friends decide to meet at point P so that the total walking distance for all five friends is minimized. What is the distance of line AP