Final answer:
To solve for 'x', we need to set the equations for the square and the equilateral triangle equal to 0 and solve for 'x'. Once we have the value of 'x', we can find the side lengths of the shapes and then calculate the perimeter of each shape.
Step-by-step explanation:
To write an equation representing the situation, we can use the given information about the side lengths of the square and the equilateral triangle. Let's represent the side length of the square as 's' and the side length of the equilateral triangle as 't'. The equation for the square would be s = 2.5x - 3, and the equation for the equilateral triangle would be t = 2x - 2.
To solve for 'x', we can set each equation equal to 0 and solve for 'x'. Then, we can substitute the value of 'x' back into the equations to find the side lengths of the square and the equilateral triangle. Once we have the side lengths, we can find the perimeter of each shape by multiplying the side length by the number of sides.