Question

Your room is squared shaped with an area of 196 square feet. What is the perimeter of your room?

Answer 1

784

Explanation:

perimeter of square = 4L

= 4×196

=784

Answer 2

`\boxed {\boxed {\sf 14 \ feet}}`

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:

`a=s^2`

We know the room's area is 196 square feet.

`a=196 \ ft^2`

Substitute the area in.

`196 \ ft^2=s^2`

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.

`√(196 \ ft^2) =√(s^2)`

`√(196 ft^2)=s`

`14 \ ft=s`

Now, find the perimeter. This can be found using:

`p=4s`

We know the side length is 14 feet.

`p=4 (14 \ ft)`

Multiply.

`p=56 \ ft`

The perimeter of the room is 14 feet.