Question

what is the perimeter of this parallelogram? 10x + 8 6x² - 9x - 45 5x + 4 9x

Explanation:

Step1: Recall perimeter formula for parallelogram

The perimeter \(P\) of a parallelogram with adjacent - side lengths \(a\) and \(b\) is \(P = 2(a + b)\). Here, \(a=3x + 9\) and \(b = 2x-5\).

Step2: Substitute side - lengths into formula

\[

$$\begin{align*} P&=2((3x + 9)+(2x-5))\\ &=2(3x + 9+2x-5)\\ &=2(5x + 4) \end{align*}$$

\]

Step3: Expand the expression

\[

$$\begin{align*} P&=2\times5x+2\times4\\ &=10x + 8 \end{align*}$$

\]

Answer:

\(10x + 8\)