Question

an equilaterial triangle and a square have the same perimeter. Each side length of the triangle is 5 units more than the length of one side of the square. Find the perimeter of the square

Answer 1

The perimeter of the square is 60 units.

Step-by-step explanation:

To find the perimeter of the square, let's start by assigning variables.

Let the length of one side of the square be x. According to the problem, each side length of the equilateral triangle is 5 units more than the length of one side of the square.

So, the length of one side of the triangle would be x + 5.

The perimeter of the square is given by the formula: P = 4x.

And the perimeter of the equilateral triangle is given by the formula: P = 3(x + 5).

Since they have the same perimeter, we can set these two formulas equal to each other:

4x = 3(x + 5).

Solving the equation, we get:

4x = 3x + 15.

Simplifying further, we have:

x = 15.

Therefore, the perimeter of the square is:

P = 4(15)

= 60 units.