Answer:
[tex]\boxed {\boxed {\sf 14 \ feet}}[/tex]
Step-by-step explanation:
To find the perimeter, you must first find the side length.
We are given the area. The formula for the area of a square is:
[tex]a=s^2[/tex]
We know the room's area is 196 square feet.
[tex]a=196 \ ft^2[/tex]
Substitute the area in.
[tex]196 \ ft^2=s^2[/tex]
We want to find the side length, so we must isolate s on one side of the equation.
- s is being squared.
- The inverse of a square is the square root.
- Take the square root of both sides of the equation.
[tex]\sqrt{196 \ ft^2} =\sqrt{s^2}[/tex]
[tex]\sqrt{196 ft^2}=s[/tex]
[tex]14 \ ft=s[/tex]
Now, find the perimeter. This can be found using:
[tex]p=4s[/tex]
We know the side length is 14 feet.
[tex]p=4 (14 \ ft)[/tex]
Multiply.
[tex]p=56 \ ft[/tex]
The perimeter of the room is 14 feet.
