Respuesta :
Answer: The required length of the room is 16 ft.
Step-by-step explanation: Given that the area of a square living room is 256 ft².
We are to find the length of the room.
Let the length of the room be a ft.
We know that
the area of a square with length l units is l² sq. units.
So, according to the given information, we have
[tex]a^2=256\\\\\Rightarrow a=\pm\sqrt{256}\\\\\Rightarrow a=\pm16.[/tex]
Sine the length of the room cannot be negative, so we get
a = 16.
Thus, the required length of the room is 16 ft.
