Question

the width of a rectangle measures (t - 9u) centimeters, and its length measures (4t - 4u) centimeters. which expression represents the perimeter, in centimeters, of the rectangle? answer 10t - 26 -26u + 10t -8u + 10t - 9 -13 + 5t

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. Here, $l=(4t - 4u)$ and $w=(t - 9u)$.

Step2: Substitute values into formula

$P=2((4t - 4u)+(t - 9u))$.

Step3: Simplify inside the parentheses

$(4t - 4u)+(t - 9u)=4t - 4u+t - 9u=(4t+t)+(-4u - 9u)=5t-13u$.

Step4: Multiply by 2

$P = 2(5t-13u)=10t - 26u=-26u + 10t$.

Answer:

$-26u + 10t$