The rectangular floor of a classroom is 30 feet in length and 21 feet in width. A scale drawing of the floor has a length of 10 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 30 feet, and the actual width is 21 feet. The scale drawing has a length of 10 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. The scale factor is the ratio of the length in the scale drawing to the actual length. Since 1 foot is equal to 12 inches, we first convert the actual length from feet to inches: 30 feet * 12 inches/foot = 360 inches. Now we can find the scale factor: 10 inches (scale drawing length) / 360 inches (actual length) = 1/36.Find Width in Scale Drawing: Use the scale factor to find the width in the scale drawing. Now we apply the scale factor to the actual width to find the width in the scale drawing. First, convert the actual width to inches: 21 feet * 12 inches/foot = 252 inches. Then multiply by the scale factor: 252 inches * (1/36) = 7 inches. So, the width in the scale drawing is 7 inches.Calculate Perimeter: Calculate the perimeter of the scale drawing. The perimeter of a rectangle is given by the formula P = 2(length + width). We have the length as 10 inches and the width as 7 inches in the scale drawing. So, the perimeter is P = 2(10 inches + 7 inches) = 2(17 inches) = 34 inches.

The rectangular floor of a classroom is $30$ feet in length and $21$ feet in width. A scale drawing of the floor has a length of $10$ 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 $30$ feet in length and $21$ feet in width. A scale drawing of the floor has a length of $10$ inches. What is the perimeter, in inches, of the floor in the scale drawing? $\newline$ Answer: $\square$ in.