Question

find the perimeter. simplify your answer.\
10v+9\
2v+5\
2v+5\
10v+9

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 \( 10v + 9 \) and width is \( 2v + 5 \).

Step2: Substitute into formula

\( P = 2\times(10v + 9 + 2v + 5) \)

Step3: Combine like terms inside the parentheses

\( 10v + 2v + 9 + 5 = 12v + 14 \)

Step4: Multiply by 2

\( P = 2\times(12v + 14) = 24v + 28 \)

Answer:

\( 24v + 28 \)