Question

which of the following expressions represents the perimeter of the rectangle with length 4x+3 and width x - 5? answer attempt 1 out of 2 10x - 4 5x - 6 10x - 10 8x - 12 submit answer

Explanation:

Step1: Recall perimeter formula

The perimeter $P$ of a rectangle is $P = 2(l + w)$, where $l$ is length and $w$ is width. Here, $l=4x + 3$ and $w=x - 5$.

Step2: Substitute values

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

Step3: Simplify inside parentheses

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

Step4: Multiply by 2

$P = 2(5x - 2)=10x-4$.

Answer:

A. $10x - 4$