The shortest length the hose can be to extend from one corner to the other corner is 60 feet.
The shortest length is defined as the sum of the two lengths of the diagonal of the rectangle.
Given information
A rectangular swimming pool has a length of 48 feet and a width of 36 feet,
A hose needs to extend from the southwest corner of the pool to the northeast corner of the pool.
The shortest length the hose can be to extend from one corner to the other corner is;
[tex]\rm Shortest \ length =\sqrt{36+48^2} \\\\ Shortest \ length =\sqrt{1296+2404}\\\\ Shortest \ length =\sqrt{3600}\\\\ Shortest \ length =60[/tex]
Hence, the shortest length the hose can be to extend from one corner to the other corner is 60 feet.
To know more about the diagonal of the rectangle click the link given below.
https://brainly.com/question/14838275
