Question

find the perimeter. simplify your answer. 3z - 2, 9z - 7, 9z - 7, 3z - 2

Explanation:

Step1: Recall perimeter formula for rectangle

The perimeter \( P \) of a rectangle is given by \( P = 2\times(\text{length} + \text{width}) \). Here, length is \( 9z - 7 \) and width is \( 3z - 2 \).

Step2: Substitute values into formula

\( P = 2\times((9z - 7) + (3z - 2)) \)

Step3: Simplify inside the parentheses

First, combine like terms inside the parentheses: \( (9z - 7) + (3z - 2) = 9z + 3z - 7 - 2 = 12z - 9 \)

Step4: Multiply by 2

Now, multiply the result by 2: \( P = 2\times(12z - 9) = 24z - 18 \)

Answer:

\( 24z - 18 \)