Answer:
10 m
Step-by-step explanation:
Area of a square
[tex]A=s^2[/tex]
where s is the side length.
If the area of the floor is 6 m²:
[tex]\begin{aligned}A&=s^2\\\implies 6&=s^2\\\sqrt{6}&=\sqrt{s^2}\\s&=\sqrt{6}\end{aligned}[/tex]
Therefore, the side length of the square is √6 m.
Perimeter of a square
[tex]P=4s[/tex]
where s is the side length.
Substitute the found value for s into the formula to find the perimeter:
[tex]\begin{aligned}P&=4s\\\implies P&=4 \cdot \sqrt{6}\\P&=4 \sqrt{6}\\P&=9.79795897...\\ P&=10 \sf \;m\;(nearest\:integer)\end{aligned}[/tex]
Therefore, the perimeter is 10 m to the nearest integer.
