Question

find the perimeter. simplify your answer.
v - 5
2
2
v - 5

Explanation:

Step1: Recall perimeter formula for rectangle

The perimeter \( P \) of a rectangle is given by \( P = 2\times(\text{length} + \text{width}) \). Here, the length is \( v - 5 \) and the width is \( 2 \).

Step2: Substitute values into formula

Substitute length \( = v - 5 \) and width \( = 2 \) into the formula:
\( P = 2\times((v - 5) + 2) \)

Step3: Simplify the expression

First, simplify inside the parentheses: \( (v - 5) + 2 = v - 3 \). Then multiply by 2: \( P = 2\times(v - 3) = 2v - 6 \). Alternatively, we can sum all sides: \( (v - 5) + 2 + (v - 5) + 2 \). Combine like terms: \( (v + v) + (-5 - 5) + (2 + 2) = 2v - 10 + 4 = 2v - 6 \).

Answer:

\( 2v - 6 \)