Question

write the expression for the perimeter of the given rectangle. choose the best answer.

Explanation:

Step1: Recall perimeter formula

$P = 2(l + w)$ (where $P$ is perimeter, $l$ is length, $w$ is width)

Step2: Identify length and width

$l=4x + 3$, $w = 2x+2$

Step3: Substitute values into formula

$P=2((4x + 3)+(2x + 2))$

Step4: Simplify inside parentheses

$P=2(4x+2x + 3 + 2)=2(6x + 5)$

Step5: Distribute 2

$P = 12x+10$

Answer:

$12x + 10$