Question

find the perimeter. simplify your answer. 2x - 6, 2x - 8, 2x - 8, 2x - 6

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 \( 2x - 6 \) and width is \( 2x - 8 \).

Step2: Substitute values into formula

\( P = 2\times((2x - 6)+(2x - 8)) \)

Step3: Simplify inside the parentheses

First, combine like terms: \( (2x - 6)+(2x - 8)=2x + 2x-6 - 8 = 4x-14 \)

Step4: Multiply by 2

\( P = 2\times(4x - 14)=8x-28 \)

Answer:

\( 8x - 28 \)