Solution:
Note that:
AB = EFBC = EG = 6x - 87x - 19 = 2x + 11Perimeter of triangle: 24 + 2x + 11 + 6x - 8
Solving for x:
7x - 19 = 2x + 11=> 7x - 2x = 19 + 11=> 5x = 30=> x = 30/5 = 6
Substitute the value of x into the expression (24 + 2x + 11 + 6x - 8):
24 + 2x + 11 + 6x - 8=> 24 + 2(6) + 11 + 6(6) - 8=> 24 + 12 + 11 + 36 - 8=> 24 + 12 + 3 + 36=> 75 units
The perimeter of the triangle ABC is 75 units.