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 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 the length and $w$ is the width.

Step2: Substitute length and width

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

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:

$8 + 26x$