The rectangular floor of a classroom is 27 feet in length and 21 feet in width. A scale drawing of the floor has a length of 9 inches. What is the perimeter, in inches, of the floor in the scale drawing? Answer: in.

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Identify Dimensions and Scale: Identify the actual dimensions of the classroom floor and the scale used in the drawing. The actual length of the classroom floor is 27 feet, and the actual width is 21 feet. The scale drawing has a length of 9 inches. We need to find the scale factor to use it for finding the width in the scale drawing and then calculate the perimeter.Calculate Scale Factor: Calculate the scale factor. Since the actual length is 27 feet and the scale drawing length is 9 inches, we convert the actual length to inches (since 1 foot = 12 inches) and then find the scale factor. Actual length in inches = 27 feet * 12 inches/foot = 324 inches. Scale factor = Scale drawing length / Actual length in inches = 9 inches / 324 inches. Scale factor = 1/36.Calculate Width in Drawing: Calculate the width in the scale drawing using the scale factor. Actual width in inches = 21 feet * 12 inches/foot = 252 inches. Width in scale drawing = Actual width in inches * Scale factor = 252 inches * 1/36. Width in scale drawing = 7 inches.Calculate Perimeter: Calculate the perimeter of the scale drawing. Perimeter of a rectangle = 2 * (length + width). Perimeter in scale drawing = 2 * (9 inches + 7 inches) = 2 * 16 inches = 32 inches.Verify Perimeter Calculation: Verify that the perimeter calculation is correct and matches the scale. The perimeter of the actual classroom floor is 2 * (27 feet + 21 feet) = 2 * 48 feet = 96 feet. Converting the actual perimeter to inches: 96 feet * 12 inches/foot = 1152 inches. Since the scale factor is 1/36, the perimeter in the scale drawing should be 1152 inches * 1/36 = 32 inches, which matches our calculation.

The rectangular floor of a classroom is $27$ feet in length and $21$ feet in width. A scale drawing of the floor has a length of $9$ 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 $27$ feet in length and $21$ feet in width. A scale drawing of the floor has a length of $9$ inches. What is the perimeter, in inches, of the floor in the scale drawing? $\newline$ Answer: $\square$ in.