Question

find the perimeter of the figure. each side = 3x + 10 inches. the perimeter is inches. (simplify your answer)

Explanation:

Step1: Identify the shape

The figure is a pentagon.

Step2: Recall perimeter formula

The perimeter \(P\) of a polygon is the sum of the lengths of its sides. For a regular pentagon with side - length \(s\), \(P = 5s\). Here, \(s=-3x + 10\).

Step3: Calculate the perimeter

\[

$$\begin{align*} P&=5(-3x + 10)\\ &=5\times(-3x)+5\times10\\ &=-15x + 50 \end{align*}$$

\]

Answer:

\(-15x + 50\)