Question

find the perimeter. simplify your answer.
8b - 7
b + 1
b + 1
8b - 7
submit

Explanation:

Step1: Recall the perimeter formula for a rectangle

The perimeter \( P \) of a rectangle is given by \( P = 2\times(\text{length} + \text{width}) \). Here, the length is \( 8b - 7 \) and the width is \( b + 1 \).

Step2: Substitute the length and width into the formula

\( P = 2\times((8b - 7) + (b + 1)) \)

Step3: Simplify the expression inside the parentheses

First, combine like terms: \( (8b - 7) + (b + 1) = 8b + b - 7 + 1 = 9b - 6 \)

Step4: Multiply by 2

\( P = 2\times(9b - 6) = 18b - 12 \)

Answer:

\( 18b - 12 \)