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