The area of a square living room is 256ft^2. which is the length of the room?

 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

Sine the length of the room cannot be negative, so we get

a = 16.

Thus, the required length of the room is 16 ft.