Question

the width of a rectangle measures (8t + 8u) centimeters, and its length measures (6t + u) centimeters. which expression represents the perimeter, in centimeters, of the rectangle? answer 28t + 18 8 + 2u + 28t 9 + 14t 18u + 28t submit answer

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 $w=(8t + 8u)$ and $l=(6t + u)$. Then $P = 2((6t + u)+(8t + 8u))$.

Step3: Simplify the expression inside parentheses

$(6t + u)+(8t + 8u)=6t + 8t+u + 8u=14t + 9u$.

Step4: Multiply by 2

$P = 2(14t + 9u)=28t+18u$.

Answer:

$18u + 28t$