Question

find the value of t. 2 mm t t 12 mm perimeter = 48 millimeters t = millimeters

Explanation:

Step1: Recall perimeter formula for trapezoid

The perimeter $P$ of a trapezoid is $P=a + b+ c + d$, where $a,b,c,d$ are the side - lengths. Here, $a = 2$, $b = 12$, $c=t$, $d=t$, and $P = 48$. So, $P=2 + 12+t + t$.

Step2: Simplify the equation

$48=2 + 12+2t$. Combine like - terms: $48=14 + 2t$.

Step3: Solve for $t$

Subtract 14 from both sides of the equation: $48−14=2t$, which gives $34 = 2t$. Then divide both sides by 2: $t=\frac{34}{2}$.

Answer:

$17$