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 1 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
a function relating these variables is ( z(x)=)
so ( z(7)=), meaning if 7

Explanation:

Step1: Recall the formula for the perimeter of a square

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

Step2: Calculate \(Z(7)\)

Substitute \(x = 7\) into the function \(Z(x)\). Using the formula \(Z(x)=4x\), when \(x = 7\), we have \(Z(7)=4\times7\).

Answer:

A function relating these variables is \(Z(x)=4x\). So \(Z(7) = 28\), meaning if the length of one side of the square is \(7\), the perimeter of the square is \(28\).