Suppose s is the length of the middle-length side. The perimeter will be 3s, and the longest side will be (s+1). The problem statement says

(3s)/2 = 14 + (s+1)

(3/2)s = 15 + s (collect terms on the right)

(1/2)s = 15 (subtract s from both sides)

s = 30 (multiply both sides by 2)

The perimeter is 3s =

(3s)/2 = 14 + (s+1)

(3/2)s = 15 + s (collect terms on the right)

(1/2)s = 15 (subtract s from both sides)

s = 30 (multiply both sides by 2)

The perimeter is 3s =

**90**.