Question

1. the width of a rectangle measures (9s + 6) centimeters, and its length measures (s + 1) centimeters. which expression represents the perimeter, in centimeters, of the rectangle? a. 15s + 2 b. 7 + 10s c. 14 + 20s d. 4 + 30s

Explanation:

Step1: Recall perimeter formula

The perimeter formula of a rectangle is $P = 2(l + w)$, where $l$ is the length and $w$ is the width.

Step2: Substitute length and width

Substitute $l=s + 1$ and $w=9s+6$ into the formula: $P=2((s + 1)+(9s + 6))$.

Step3: Simplify inside - parentheses

First, simplify the expression inside the parentheses: $(s + 1)+(9s + 6)=s+1 + 9s+6=10s + 7$.

Step4: Multiply by 2

Then, multiply the result by 2: $P=2(10s + 7)=20s+14$.

Answer:

C. $14 + 20s$