The side of a triangle with 3 equal sides is 8 inches shorter than the side of a square. The perimeter of the square is 46 inches more than the perimeter of the triangle. Find the length of a side of the square.

Answer:The length of a side of the square is 22 inches.Step-by-step explanation:Let each side of square be = sLet each side of triangle be = s - 8Perimeter of square, p₁ = 4s Perimeter of triangle = p₂ = 3s                                           = 3(s-8)                                           = 3s - 24Therefore, according to the question p₁ - p₂ = 464s - (3s - 24) = 464s - 3s + 24 = 46 s = 46 - 24 s = 22The length of a side of the square is 22 inches.