Question

find the perimeter. simplify your answer.
7 8p+9 7
8p+9

Explanation:

Step1: Recall the perimeter formula for a parallelogram (or a quadrilateral with opposite sides equal). The perimeter \( P \) is the sum of all sides.

The sides are \( 7 \), \( 8p + 9 \), \( 7 \), and \( 8p + 9 \). So, \( P=7+(8p + 9)+7+(8p + 9) \).

Step2: Combine like terms. First, combine the constant terms: \( 7 + 7=14 \), and the terms with \( p \): \( 8p+8p = 16p \), and the constant terms from the \( 8p + 9 \) parts: \( 9+9 = 18 \).

Then, add the combined constant terms: \( 14+18 = 32 \). So, \( P = 16p+32 \).

Answer:

\( 16p + 32 \)