Write the exact value of the side length of each square. If the value is not a whole number, estimate the length. area exact side leng

Question

Write the exact value of the side length of each square. If the value is not a whole number, estimate the length.
area exact side length estimite side length
100 square units —— units
95 square units bettween —– and —–
36 square units ——-units
30 square units bettween —– and —–

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Calantha 4 years 2021-08-27T22:48:23+00:00 1 Answers 9 views 0

Answers ( )

  1. Jezebel
    0
    2021-08-27T22:49:23+00:00
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    Given:

    The area of the squares are given.

    To find:

    The exact side length or estimate side length of the square.

    Solution:

    We know that, the area of a square is

    A=a^2

    Where, a is the side length of the square.

    a=\sqrt{A}

    Area of the square is 100 square units. So, the side length is:

    a=\sqrt{100}

    a=10

    Therefore, the side length is 10 units.

    Area of the square is 95 square units. So, the side length is:

    a=\sqrt{95}

    It is not exact. We know that \sqrt{81}<\sqrt{95}<\sqrt{100}.

    Therefore, the side length is between 9 and 10.

    Area of the square is 36 square units. So, the side length is:

    a=\sqrt{36}

    a=6

    Therefore, the side length is 6 units.

    Area of the square is 30 square units. So, the side length is:

    a=\sqrt{30}

    It is not exact. We know that \sqrt{25}<\sqrt{30}<\sqrt{36}.

    Therefore, the side length is between 5 and 6.

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