6x + 15 is the formula for the triangle's perimeter. Let x represent the triangle's bottom. The length of one side of a triangle equals 12 times the length of the triangle's bottom, so: 4x + 12 is the side length. The last side of the triangle is three times longer than the bottom, resulting in: x + 3 is the length of a side. Triangle perimeter = x + (4x + 12) + (x + 3) 6x + 15 = Perimeter 6x + 15 is the formula for the triangle's perimeter.