Question

what is the perimeter of this parallelogram?

Explanation:

Step1: Recall perimeter formula

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 values into formula

$P=2((3x + 9)+(2x - 5))$.

Step3: Simplify inside the parentheses

$(3x + 9)+(2x - 5)=3x+2x + 9 - 5=5x + 4$.

Step4: Multiply by 2

$P = 2(5x + 4)=10x+8$.

Answer:

$10x + 8$