Question

A square and an equilateral triangle has the same perimeter. Each side of the triangle is 5 m less than twice the length of each side of the square. How long is each side of the square?

Define the variables and write a system of equations. Thx! (:

Answer 1

Always start with Let statements.

Let "S" represent the length of one side of the square.

Let "T" represent the length of one side of the triangle.

Now rewrite your question as equations.

A square and an equilateral triangle has the same perimeter.

4S = 3T

Each side of the triangle is 5 m less than twice the length of each side of the square.

T = 2S -5

Now substitute, and solve. :)