Question

find the perimeter. simplify your answer.
t - 5
9t + 6
9t + 6
5t - 7

Explanation:

Step1: Recall perimeter formula

Perimeter of a trapezoid (or any polygon) is the sum of all its side lengths. So we add the four sides: \((t - 5)+(9t + 6)+(5t - 7)+(9t + 6)\).

Step2: Combine like terms

First, combine the \(t\) terms: \(t+9t + 5t+9t=(1 + 9+5 + 9)t = 24t\).
Then, combine the constant terms: \(-5 + 6-7 + 6=(-5-7)+(6 + 6)=-12 + 12 = 0\).

Answer:

\(24t\)