Question

A square and an equilateral triangle have the same perimeter. The side length of the square is X - 1 inches, and the side length of the triangle is 2X - 6 inches. What is the perimeter of the square?

Answer 1

The perimeter of the square is 8X - 28 inches.

Step-by-step explanation:

To find the perimeter of the square, you need to know the length of its sides. The problem states that the side length of the square is X - 1 inches. Let's replace X with 2X - 6 inches, which is the side length of the equilateral triangle with the same perimeter.

Therefore, the side length of the square is 2X - 6 - 1 = 2X - 7 inches.

The perimeter of a square is found by multiplying the length of one side by 4. So the perimeter of the square is 4(2X - 7) = 8X - 28 inches.