Question

An equilateral 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.

A. 15 units
B. 20 units
C. 25 units
D. 30 units

Answer 1

The length of one side of the square is 15 units, and the perimeter of the square is 60 units. None of the option is correct

Step-by-step explanation:

To find the perimeter of the square, we need to first determine the length of one side of the square. Let's assume the length of one side of the square is 'x'. According to the given information, each side length of the equilateral triangle is 5 units more than 'x', so the side length of the triangle is 'x + 5'.

Since the perimeter of the square is equal to the perimeter of the triangle, we can set up the equation: 4x = 3(x + 5).

Simplifying the equation, we get 4x = 3x + 15. Subtracting 3x from both sides, we have x = 15. Therefore, the length of one side of the square is 15 units, and the perimeter of the square is 4 * 15 = 60 units.

None of the option is correct