Question

The length of each of the legs of an isosceles triangle is represented by the

expression 6x – 2 inches. The length of the base of the isosceles triangle is
represented by the expression 3x + 1 inches. The perimeter of the isosceles
triangle is 42 inches. What is the length of the base?

Answer 1

10 inches

Explanation:

6x-2+6x-2+3x+1=42

12x-4+3x+1=42

15x-3=42

15x=45

x=3

Plug x=3 into 3x+1

3*3+1

9+1=10

Length of base is 10 inches