The rectangular floor of a classroom is 26 feet in length and 24 feet in width. A scale drawing of the floor has a length of 13 inches. What is the perimeter, in inches, of the floor in the scale drawing? Answer: in.

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Identify Dimensions: Identify the actual dimensions of the classroom floor and the scale drawing length. The actual length of the classroom floor is 26 feet, and the actual width is 24 feet. The scale drawing length is 13 inches.Determine Scale Factor: Determine the scale factor between the actual floor dimensions and the scale drawing. Since the actual length is 26 feet and the scale drawing length is 13 inches, we need to convert feet to inches to find the scale factor. There are 12 inches in a foot, so the actual length in inches is 26 feet * 12 inches/foot = 312 inches. The scale factor is the scale drawing length divided by the actual length in inches, which is 13 inches / 312 inches.Calculate Factor: Calculate the scale factor. The scale factor is 13 inches / 312 inches = 1/24.Determine Width: Determine the width of the classroom floor in the scale drawing using the scale factor. The actual width is 24 feet, which is 24 feet * 12 inches/foot = 288 inches. Using the scale factor of 1/24, the width in the scale drawing is 288 inches * (1/24) = 12 inches.Calculate Perimeter: Calculate the perimeter of the classroom floor in the scale drawing. The perimeter of a rectangle is 2 times the length plus 2 times the width. The length in the scale drawing is 13 inches, and the width we've calculated is 12 inches. So, the perimeter is 2 * 13 inches + 2 * 12 inches = 26 inches + 24 inches = 50 inches.

The rectangular floor of a classroom is $26$ feet in length and $24$ feet in width. A scale drawing of the floor has a length of $13$ inches. What is the perimeter, in inches, of the floor in the scale drawing? $\newline$ Answer: $\square$ in.

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The rectangular floor of a classroom is $26$ feet in length and $24$ feet in width. A scale drawing of the floor has a length of $13$ inches. What is the perimeter, in inches, of the floor in the scale drawing? $\newline$ Answer: $\square$ in.