Question

The perimeter of an equilateral triangle is 24 centimeters. Each side of the triangle measures 2.5 centimeters more than the length of each side of a square. What is the length of each side of the square, and what is the length of each side of the triangle? What is the perimeter of the square?

A) Side of square: 6 centimeters, Side of triangle: 8 centimeters, Perimeter of square: 24 centimeters
B) Side of square: 5.5 centimeters, Side of triangle: 8 centimeters, Perimeter of square: 22 centimeters
C) Side of square: 8 centimeters, Side of triangle: 10.5 centimeters, Perimeter of square: 33 centimeters

Answer 1

The length of each side of the square is 5.5 centimeters, the length of each side of the triangle is 8 centimeters, and the perimeter of the square is 22 centimeters.

Step-by-step explanation:

To find the length of each side of the square and the equilateral triangle, let's assume that the length of each side of the square is 'x' centimeters. Since each side of the triangle measures 2.5 centimeters more than the length of each side of the square, the length of each side of the triangle would be 'x + 2.5' centimeters.

Since the perimeter of the equilateral triangle is 24 centimeters, each side would be '8' centimeters ('24 / 3 = 8').

Using this information, we can solve for 'x' by setting up an equation: '8 = x + 2.5'. By solving this equation, we find that 'x = 5.5' centimeters.

Therefore, the length of each side of the square is '5.5' centimeters, the length of each side of the triangle is '8' centimeters, and the perimeter of the square is '22' centimeters ('4 * 5.5 = 22').