Question

the width of a rectangle measures (9x - 2) centimeters, and its length measures (4x + 6) centimeters. which expression represents the perimeter, in centimeters, of the rectangle?
answer
attempt 1 out of 2
8 + 26x
10 + 7x
14x + 20
4 + 13x

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, $l=(4x + 6)$ and $w=(9x - 2)$.

Step2: Substitute values into formula

$P=2((4x + 6)+(9x - 2))$.

Step3: Simplify inside parentheses

$(4x+6)+(9x - 2)=4x+9x+6 - 2=13x + 4$.

Step4: Multiply by 2

$P = 2(13x + 4)=2\times13x+2\times4=26x + 8$.

Answer:

$8 + 26x$