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 attempt 1 out of 2
12 + 8u
-12 + 32u
-6 + 16u
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.

Step2: Substitute length and width

Given $w=(8u - 4)$ and $l=(8u - 2)$. Substitute into the formula: $P = 2((8u - 2)+(8u - 4))$.

Step3: Simplify inside the parentheses

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

Step4: Multiply by 2

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

Answer:

$-12 + 32u$