Question

find the perimeter. simplify your answer.
9p+8
8p-4
8p-4
9p+8

Explanation:

Step1: Recall perimeter formula for parallelogram

A parallelogram has two pairs of equal sides. So perimeter \( P = 2\times(\text{length} + \text{width}) \). Here, length is \( 9p + 8 \) and width is \( 8p - 4 \).

Step2: Substitute into formula

\( P = 2\times(9p + 8 + 8p - 4) \)

Step3: Combine like terms inside parentheses

\( 9p + 8p = 17p \), \( 8 - 4 = 4 \), so inside becomes \( 17p + 4 \).

Step4: Multiply by 2

\( P = 2\times(17p + 4) = 34p + 8 \)

Answer:

\( 34p + 8 \)