Question

the width of a rectangle measures (3t + 6u) centimeters, and its length measures (4t + 2u) centimeters. which expression represents the perimeter, in centimeters, of the rectangle? answer 14t + 16 8 + 7t 6 + 4u + 14t 14t + 16u

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, $l=(4t + 2u)$ and $w=(3t + 6u)$.

Step2: Substitute values into formula

$P=2((4t + 2u)+(3t + 6u))$.

Step3: Simplify inside parentheses

$(4t + 2u)+(3t + 6u)=(4t+3t)+(2u + 6u)=7t + 8u$.

Step4: Multiply by 2

$P = 2(7t + 8u)=14t+16u$.

Answer:

$14t + 16u$