Step-by-step explanation:
Length of the base = y
Length of a side = 3y + 2
Length of the third side= 3y + 2 (Isosceles triangle)
Perimeter = Sum of all sides
46 = y + 3y + 2 + 3y + 2
46 = y + 2(3y +2)
46 = y + 6y + 4
46 = 7y + 4
46 - 4 = 7y
42 = 7y
42/7 = y
6 = y
Therefore, the length of the base is 6
