After plotting the data where x=area, and f(x)=the length of one side of the square, sam determined the model to approximate the side of a square was use the model sam created to predict the side length of the square when the area is 86. 6

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:

or

Hence model would be:

or

Since, the area is:

x = 86.6

Substitute value of x in .

The length of the side is 9.306 approximately .

Check:

Calculate the area if side = 9.306

Hence, the side length is 9.306 approximately .