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The primeter of a squre is 24m.Find its area.

Sagot :

Dashataranidn

Given:

  • The perimeter of the square is [tex]24[/tex]  meters.

To Find:

  • The area of the square.

Solution:

 1.   Calculate the side length of the square:

      The perimeter [tex]P[/tex] of a square is given by:

                                    [tex]P=4s[/tex]

      where [tex]s[/tex]  is the side length.

      Given [tex]P=24[/tex]  meters:

                                   [tex]4s=24[/tex]

                                   [tex]s=\dfrac{24}{4}=6\text{ meters}[/tex]

  2.   Calculate the area of the square:

        The area [tex]A[/tex]  of a square is given by:

                                  [tex]A=s^2[/tex]

        Substituting the side length [tex]s=6\text{ meters}[/tex]

                                  [tex]A=6^2=36\text{ square meters}[/tex]

Final Answer:

                                  [tex]\boxed{36 \text{ square meters}}[/tex]

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