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! (:

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. :)

To solve this problem, we can define the variables as follows:

Let "S" represent the length of each side of the square.
Let "T" represent the length of each side of the equilateral triangle.

Now, let's write the system of equations based on the given information:

1. The perimeter of a square is given by the formula:
Perimeter of square = 4 * side length
Therefore, the perimeter of the square is 4S.

2. The perimeter of an equilateral triangle is given by the formula:
Perimeter of equilateral triangle = 3 * side length
Therefore, the perimeter of the triangle is 3T.

According to the problem statement, the square and triangle have the same perimeter, so we can write:

4S = 3T

Additionally, it is given that each side of the triangle is 5 meters less than twice the length of each side of the square. Mathematically, this can be written as:

T = 2S - 5

So, we have the system of equations:

4S = 3T
T = 2S - 5

Now, we can solve this system of equations to find the value of S (the length of each side of the square).