SOLUTION: A square has side length s, while an equilateral triangle has length s+1. Write and solve a system of linear equalities to determine the length of the side at which the perimeters

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A square has side length s, while an equilateral triangle has length s+1. Write and solve a system of linear equalities to determine the length of the side at which the perimeters      Log On


   

Question 706874: A square has side length s, while an equilateral triangle has length s+1. Write and solve a system of linear equalities to determine the length of the side at which the perimeters of the triangle and the rectangle would be equal.
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
Let's the perimeter of square or triangle is p. the system will be:
system+%28p=4s%2C+p=3%28s%2B1%29%29
s=p%2F4, substitute and get:
+p=3%28p%2F4%29%2B3 => 4p-3p=12 => p=12
The perimeter of square or equilateral triangle is 12cm and the side of square is 3 cm while the side of equilateral triangle is 4cm.