Question

find the perimeter. simplify your answer.
3y+7
9y+3
9y+3
5y-5

Explanation:

Step1: Recall perimeter formula for rectangle

The perimeter \( P \) of a rectangle is given by \( P = 2\times(\text{length} + \text{width}) \). Alternatively, we can sum all four sides: \( P = \text{side}_1 + \text{side}_2 + \text{side}_3 + \text{side}_4 \).

From the diagram, the sides are \( 3y + 7 \), \( 9y + 3 \), \( 5y - 5 \), and \( 9y + 3 \).

Step2: Sum all four sides

\[

$$\begin{align*} P&=(3y + 7)+(9y + 3)+(5y - 5)+(9y + 3)\\ &=3y + 7 + 9y + 3 + 5y - 5 + 9y + 3\\ &=(3y + 9y + 5y + 9y)+(7 + 3 - 5 + 3)\\ &=(26y)+(8) \end{align*}$$

\]

Answer:

\( 26y + 8 \)