Answer
$P = 34$
Work Step by Step
We can find the value of $x$:
$AB = AD$
$\frac{x}{6} + 5 = \frac{x}{3} + 3$
$x + 30 = 2x + 18$
$x = 12$
We can find the length of each side:
$AB = \frac{x}{6} + 5 = \frac{12}{6} + 5 = 7$
$BC = x-2 = 12-2 = 10$
$CD = BC = 10$
$DA = AB = 7$
We can find the perimeter:
$P = AB+BC+CD+DA$
$P = 7+10+10+7$
$P = 34$
