Question

the width of a rectangle measures (t - 8) centimeters, and its length measures (5t + 6) centimeters. which expression represents the perimeter, in centimeters, of the rectangle? answer 6t - 2 11 - 7t 22 - 14t 12t - 4

Explanation:

Step1: Recall perimeter formula

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

Step2: Substitute length and width

Here, $l=(5t + 6)$ and $w=(t - 8)$. So $P=2((5t + 6)+(t - 8))$.

Step3: Simplify inside the parentheses

$(5t + 6)+(t - 8)=5t+6+t - 8=6t - 2$.

Step4: Multiply by 2

$P = 2(6t - 2)=12t-4$.

Answer:

$12t - 4$