Answer:
P = 37 in
Explanation:
since the base angles of the triangle are congruent then the triangle is isosceles with the 2 legs congruent , then
3x - 2 = 2x + 4 ( subtract 2x from both sides )
x - 2 = 4 ( add 2 to both sides )
x = 6
then
2x + 4 = 2(6) + 4 = 12 + 4 = 16
3x - 2 = 3(6) - 2 = 18 - 2 = 16
the perimeter (P) is the sum of the 3 sides , then
P = 16 + 16 + 5 = 37 in