Answer:
9
Step-by-step explanation:
In an isosceles triangle, the perimeter (P) is given by the formula:
P = Base + 2 * Leg
Given that the length of the base is x and the length of a leg is 3x−4, we can write the equation for the perimeter:
55 = x+2(3x-4)
Now solve for x:
55 = x + 6x - 8
Combine like terms:
55 = 7x - 8
Add 8 to both sides:
63 = 7x
Divide by 7:
x = 9
Therefore, the value of x is 9.
