The side lengths in yards of a triangle and a square are shown in the diagram.



Screenshot 2023-10-31 131337.jpg


The perimeter of the triangle is equal to the perimeter of the square. What is the value of x?

To find the value of x, we can start by calculating the perimeter of the triangle and the square.

Perimeter of a triangle = x + 3 + 6 = x + 9
Perimeter of a square = 4x

Since the perimeter of the triangle is equal to the perimeter of the square, we can set the two expressions equal to each other:

x + 9 = 4x

Now, solve for x:

9 = 3x
x = 3

Therefore, the value of x is 3.