Question

find the perimeter. simplify your answer.
v+2
v+7
v+7
v+2

Explanation:

Step1: Recall perimeter formula for parallelogram

A parallelogram has two pairs of equal sides. So perimeter \( P = 2\times(\text{side}_1 + \text{side}_2) \). Here, sides are \( v + 2 \) and \( v + 7 \).

Step2: Substitute sides into formula

\( P = 2(v + 2) + 2(v + 7) \)

Step3: Distribute the 2s

\( P = 2v + 4 + 2v + 14 \)

Step4: Combine like terms

\( P = (2v + 2v) + (4 + 14) = 4v + 18 \)

Answer:

\( 4v + 18 \)