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The rectangular floor of a classroom is feet in length and feet in width. A scale drawing of the floor has a length of inches. What is the perimeter, in inches, of the floor in the scale drawing?Answer: in.
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Q. The rectangular floor of a classroom is feet in length and feet in width. A scale drawing of the floor has a length of inches. What is the perimeter, in inches, of the floor in the scale drawing?Answer: in.
- Identify Scale: Identify the scale used in the drawing.The actual length of the classroom is feet, and the length in the scale drawing is inches. Since foot is equal to inches, the scale is inch in the drawing for every feet of actual length.
- Calculate Width: Calculate the scale length of the width in the drawing.The actual width of the classroom is feet. Using the scale from Step , the width in the scale drawing would be feet inches feet inches inches.
- Calculate Perimeter: Calculate the perimeter of the classroom in the scale drawing.The perimeter of a rectangle is calculated by adding together the lengths of all four sides. In the scale drawing, the length is inches, and the width (from Step ) is inches. So, the perimeter is $\(2\) \times (\text{length} + \text{width}) = \(2\) \times (\(12\) \text{ inches} + \(60\) \text{ inches}) = \(2\) \times \(72\) \text{ inches} = \(144\) \text{ inches}.
- Convert Units: Convert the perimeter to the desired unit if necessary.\(\newline\)The perimeter is already in inches, which is the unit asked for in the question prompt. Therefore, no conversion is necessary.
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