Answer:
The side length is 9.306 approximately .
Step-by-step explanation:
Consider the provided information:
x axis represents the area and y axis represents the side of the square.
The are of square can be calculated as:
[tex]area=(side)^{2}[/tex] or [tex]x=(y)^{2}[/tex]
Hence model would be:
[tex]side=\sqrt{area}[/tex] or [tex]y=\sqrt{x}[/tex]
Since, the area is:
x = 86.6
Substitute value of x in [tex]y=\sqrt{x}[/tex].
[tex]y=\sqrt{86.6}[/tex]
[tex]y=9.306[/tex]
The length of the side is 9.306 approximately .
Check:
Calculate the area if side = 9.306
[tex]x=(9.306)^{2}[/tex]
[tex]x=86.60[/tex]
Hence, the side length is 9.306 approximately .