Question

1. (a.eo.2.b, 5 points) which expression can be used to represent the perimeter of the rectangle? 3 + k 2(k + 5) a. 32k b. 3k + 13 c. 6k + 26 d. 16k

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. Here, $l=2(k + 5)$ and $w=3 + k$.

Step2: Substitute values into formula

$P=2(2(k + 5)+(3 + k))$.
First, expand $2(k + 5)$ to get $2k+10$. So $P = 2(2k + 10+3 + k)$.

Step3: Combine like - terms inside parentheses

Combine like - terms: $2k + k=3k$ and $10 + 3 = 13$. So $P=2(3k + 13)$.

Step4: Distribute the 2

$P=6k+26$.

Answer:

C. $6k + 26$