Question

question
the width of a rectangle measures (8s + 8t) centimeters, and its length measures (6s + 4t) centimeters. which expression represents the perimeter, in centimeters, of the rectangle?
answer
24t + 28s
8 + 8t + 28s
24 + 28s
14s + 12
submit answer
show examples

Explanation:

Step1: Recall the perimeter formula for a rectangle

The perimeter \( P \) of a rectangle is given by \( P = 2\times(\text{length}+\text{width}) \). Here, length \( l = 6s + 4t \) and width \( w = 8s + 8t \).

Step2: Substitute length and width into the formula

First, find \( l + w \): \( (6s + 4t)+(8s + 8t)=6s + 8s+4t + 8t = 14s+12t \).
Then, multiply by 2: \( 2\times(14s + 12t)=28s+24t \), which can be written as \( 24t + 28s \).

Answer:

24t + 28s (the first option among the choices)