Answer:
[tex]SM=5\ units[/tex]
Step-by-step explanation:
We know that
The diagonal SM of the rectangle LMTS is equal to (applying the Pythagoras Theorem)
[tex]SM^{2}=SL^{2}+ST^{2}[/tex]
we have
[tex]ST= 3\ units, SL=4\ units[/tex]
substitute the values
[tex]SM^{2}=4^{2}+3^{2}[/tex]
[tex]SM^{2}=25[/tex]
[tex]SM=5\ units[/tex]
