Square X has a side length of 12 centimeters. The perimeter of square Y is 2 times the perimeter of square X. What is the length, in centimeters, of one side of square Y?

Explanation

To find the side length of square Y, first calculate the perimeter of square X using the formula for the perimeter of a square, P = 4s. With a side length of 12 cm, square X has a perimeter of 48 cm. Square Y has a perimeter that is twice that of square X, which means its perimeter is 96 cm. Using the same perimeter formula for square Y, set 96 = 4s and solve for s to find that the side length of square Y is 24 cm. The other options result from common misunderstandings or miscalculations: choosing 6 might come from dividing the perimeter incorrectly, 10 could result from calculation errors, and 14 might result from doubling the side length of square X instead of calculating based on perimeter.