The measures of the 3 sides of of a triangle can be represented by the algebraic expressions x, 3x-1, and 4x+2. the perimeter of the triangle is 81 inches. what are the lengths of the sides of the triangle?

The perimeter of triangle is the sum of the three sides of the triangle.

x + 3x - 1 + 4x + 2 = 81

8x + 1 = 81

8x = 80

x = 10

The length of the sides of the triangle are 10 inches, 3 (10) - 1 = 29 inches, 4 (10) + 2 = 42 inches.