Answer:
s = (4x+9)
Step-by-step explanation:
Given that,
The area of a square room is [tex]16x^2+72x+81[/tex].
We need to find the length of one side of the room.
The formula for the area of the square is given by :
[tex]A=s^2[/tex]
Where
s is the length of one side
So,
[tex]s=\sqrt{A}\\\\s=\sqrt{16x^2+72x+81}\\\\s=\sqrt{(4x+9)^2}\\\\s=(4x+9)[/tex]
So, the length of one side of the room is equal to (4x+9).