Question

square x has a side length of 38 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? a 76 b 40 c 36 d 19

Explanation:

Step1: Calculate perimeter of square X

The perimeter formula for a square is $P = 4s$, where $s$ is the side - length. For square X with $s = 38$ cm, $P_X=4\times38 = 152$ cm.

Step2: Find perimeter of square Y

The perimeter of square Y is 2 times the perimeter of square X. So $P_Y = 2\times P_X=2\times152 = 304$ cm.

Step3: Calculate side - length of square Y

Since $P_Y = 4s_Y$ (where $s_Y$ is the side - length of square Y), then $s_Y=\frac{P_Y}{4}=\frac{304}{4}=76$ cm.

Answer:

A. 76