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

Question

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

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Lệ Thu 3 months 2021-07-29T14:18:05+00:00 2 Answers 4 views 0

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    0
    2021-07-29T14:19:05+00:00

    Answer:

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

    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:

    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.

    \sqrt{196 \ ft^2} =\sqrt{s^2}

    \sqrt{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.

    0
    2021-07-29T14:19:48+00:00

    Answer:

    784

    Step-by-step explanation:

    perimeter of square = 4L

    = 4×196

    =784

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