Hello, magentarita!
To get from his high school to his home, Jamal travels 5 miles east and 4 miles north.
When Sheila goes to her home from the same high school,
she travels 8 miles east and 2 miles south.
What is the measure of the shortest distance, to the nearest tenth of a mile,
between Jamal’s home and Sheila’s home? Code:
J
*

 4
:  5  
S ***
:    8     
 2
*
S
The school is at $\displaystyle S.$
Jamal travels 5 miles east and 4 miles north at arrives at his home at $\displaystyle J.$
Sheila travels 8 miles east and 2 miles south and arrives at her home at $\displaystyle S.$
We want the distance from $\displaystyle J$ to $\displaystyle S$ (the length of line segment $\displaystyle JS$).
Redraw the diagram. Code:
J
*

4  *

S *     * *

2  *

*    *
3 S
See that right triangle?
We have: .$\displaystyle JS^2 \:=\:3^2 + 6^2 \:=\:45$
Therefore: .$\displaystyle JS \;=\;\sqrt{45} \;\approx\;6.7$ miles.