Square X has a side length of 12 centimeters. The perimeter of square Y is 2 times the perimeter of

Question

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?

Accepted Answer

Choice D is correct. The perimeter, P , of a square can be found using the formula P = 4 s , where s is the length of each side of the square. It's given that square X has a side length of 12 centimeters. Substituting 12 for s in the formula for the perimeter of a square yields P = 4 12 , or P = 48 . Therefore, the perimeter of square X is 48 centimeters. It&rsquo;s also given that the perimeter of square Y is 2 times the perimeter of square X. Therefore, the perimeter of square Y is 2 48 , or 96 , centimeters. Substituting 96 for P in the formula P = 4 s gives 96 = 4 s . Dividing both sides of this equation by 4 gives 24 = s . Therefore, the length of one side of square Y is 24 centimeters. Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors.

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