Question

look at this rectangle. find the value of t. perimeter = 46 millimeters t = millimeters

Explanation:

Step1: Recall perimeter formula

The perimeter formula for a rectangle is $P = 2(l + w)$, where $P$ is the perimeter, $l$ is the length and $w$ is the width. Here $P = 46$ mm, $w=8$ mm and $l = t$. So, $46=2(t + 8)$.

Step2: Divide both sides by 2

Divide both sides of the equation $46 = 2(t + 8)$ by 2. We get $\frac{46}{2}=t + 8$, which simplifies to $23=t + 8$.

Step3: Solve for t

Subtract 8 from both sides of the equation $23=t + 8$. So, $t=23 - 8$.

Answer:

$15$