Final answer:
Upon checking the initial calculations, it appears an error was made. The actual question and correct calculations were not addressed. We must ensure accuracy before providing the calculation and final answer.
Step-by-step explanation:
To solve the problem regarding the perimeters of a square and an equilateral triangle, we use the information that each side of the equilateral triangle is 4 inches longer than each side of the square and that both shapes have the same perimeter. Let's denote the side of the square as s inches. Therefore, each side of the triangle would be s + 4 inches.
Since a square has four equal sides, the perimeter of the square would be 4s. Given that the triangle is equilateral, it also has three equal sides, making the perimeter of the triangle 3(s + 4). Setting these two perimeters equal to each other, we get the equation:
4s = 3(s + 4)
Distributing the 3 on the right side of the equation, we have:
4s = 3s + 12
Subtracting 3s from both sides, we find:
s = 12
Now that we have the side of the square, we can calculate its perimeter:
Perimeter of the square = 4s = 4(12) = 48 inches
However, we made a mistake in this calculation. The options given in the question (16, 20, 24, 28 inches) do not include 48 inches as an answer. Therefore, we need to re-check our calculations.