Alaina bought a square frame for her desk that has an area of 81 square inches. What is the perimeter of the frame? (answer should be a numb

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Alaina bought a square frame for her desk that has an area of 81 square inches. What is the perimeter of the frame? (answer should be a number only)

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Xavia 1 year 2021-09-05T02:48:28+00:00 1 Answers 21 views 0

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    2021-09-05T02:50:14+00:00

    Given:

    Area of a square frame = 81 square inches.

    To find:

    Perimeter of the frame.

    Solution:

    Let length of each side of the frame = a inches.

    Area of square frame is

    [tex]Area=a^2[/tex]

    [tex]81=a^2[/tex]

    Taking square root on both sides,

    [tex]\pm\sqrt{81}=a[/tex]

    [tex]\pm 9=a[/tex]

    Side length cannot be negative. So, a=9 inches.

    Perimeter of frame is

    [tex]Perimeter=4a[/tex]

    [tex]Perimeter=4(9)[/tex]

    [tex]Perimeter=36[/tex]

    Therefore, the perimeter is 36 inches.

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