Question

the perimeter of a square depends on the length of its sides. answer the questions below regarding the relationship between the perimeter of the square and the length of one side of the square.
answer
the independent variable x represents the , and the dependent variable is the , because the depends on the .
a function relating these variables is ( z(x) = ).
so ( z(7) = ), meaning if 7

Explanation:

Step1: Identify variables

The independent variable \(x\) represents the side - length of the square. The dependent variable is the perimeter of the square because the perimeter depends on the side - length.

Step2: Find the function

The formula for the perimeter \(Z\) of a square with side - length \(x\) is \(Z(x)=4x\) (since the perimeter of a square \(P = 4\times\) side - length).

Step3: Calculate \(Z(7)\)

Substitute \(x = 7\) into the function \(Z(x)=4x\). Then \(Z(7)=4\times7 = 28\), meaning if the side - length of the square is \(7\), the perimeter of the square is \(28\).

Answer:

The independent variable \(x\) represents the side - length of the square, and the dependent variable is the perimeter of the square, because the perimeter depends on the side - length. A function relating these variables is \(Z(x)=4x\). So \(Z(7)=28\), meaning if \(7\) is the side - length of the square, the perimeter of the square is \(28\).