What is Perimeter of triangle ABC?

ΔABC and ΔFEG are congruent. Therefore we have the equation:
7x - 19 = 2x + 11 add 19 to both sides
7x = 2x + 30 subtract 2x from both sides
5x = 30 divide both sides by 5
x = 6
AB = 24
AC = 2x + 11 → AC = 2(6) + 11 = 12 + 11 = 23
BC = 6x - 8 → BC = 6(6) - 8 = 36 - 8 = 28
The perimeter of ΔABC = 24 + 23 + 28 = 75