Question

find the perimeter. simplify your answer.

z - 1

z + 1

z + 1

z - 1

Explanation:

Step1: Recall the formula for the perimeter of a rectangle

The perimeter \(P\) of a rectangle is given by \(P = 2\times(\text{length}+\text{width})\). Here, the length \(l=z + 1\) and the width \(w=z - 1\).

Step2: Substitute the values into the formula

$$
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$$

Step3: Simplify the expression inside the parentheses

Combine like - terms: \(z+z+1 - 1=2z\)

Step4: Multiply by 2

\(P = 2\times(2z)=4z\)

Answer:

\(4z\)