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 attempt 2 out of 2
the independent variable ( x ) represents the length of one side of the square, and the dependent variable is the the perimeter of the square, because the the perimeter of the square depends on the the perimeter of the square
a function relating these variables is ( z(x)= )
so ( z(7)= ), meaning if 7 is the perimeter of the square then would be the perimeter of the square.

Explanation:

Step1: Recall the formula for the perimeter of a square

The perimeter \(P\) of a square with side length \(x\) is \(P = 4x\). Here, the function \(Z(x)\) represents the perimeter. So \(Z(x)=4x\).

Step2: Substitute \(x = 7\) into the function

When \(x = 7\), we use the formula \(Z(x)=4x\). Substitute \(x = 7\) into it: \(Z(7)=4\times7\).

$$Z(7)=28$$

Answer:

\(Z(x) = 4x\) and \(Z(7)=28\), meaning if \(7\) is the length of one side of the square then \(28\) would be the perimeter of the square.