Answer: 12√3.
Explanation:
To find the perimeter of a triangle, you simply add up the lengths of its sides. So the perimeter of the triangle with side lengths of 4√3, √12, and √75 would be:
4√3 + √12 + √75 = 4√3 + 3√3 + 5√3 = 12√3
Therefore, the perimeter of the triangle is 12√3.