Question

question: the width of a rectangle measures (8u - 4) centimeters, and its length measures (8u - 2) centimeters. which expression represents the perimeter, in centimeters, of the rectangle? answer: 12 + 8u; -6 + 16u; -12 + 32u; 4u + 6

Explanation:

Step1: Recall perimeter formula

The perimeter formula for a rectangle is $P = 2(l + w)$, where $l$ is the length and $w$ is the width. Given $l=(8u - 2)$ and $w=(8u - 4)$.

Step2: Substitute values into formula

$P=2((8u - 2)+(8u - 4))$.

Step3: Simplify inside - parentheses

First, simplify $(8u - 2)+(8u - 4)=8u+8u-2 - 4 = 16u-6$.

Step4: Multiply by 2

Then, $P = 2(16u-6)=32u-12=- 12 + 32u$.

Answer:

$-12 + 32u$