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A scale drawing of an office space uses a scale of 1 in 5yd the scale drawing has an area of 12 square inches what is the area of the actual office space

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Answer:

300 square yards

Explanation:

1. Understanding the Scale: The scale of 1 in 5yd means that 1 inch on the scale drawing represents 5 yards in reality. This scale allows us to convert measurements between the scale drawing and the actual office space.

2. Converting the Scale Drawing's Area: The scale drawing has an area of 12 square inches. Since the scale is 1 inch on the drawing represents 5 yards in reality, we can find the actual area by multiplying the scale drawing's area by the square of the conversion factor:

- Conversion factor: 1 inch on the drawing represents 5 yards

- Conversion factor squared: (5 yards)^2 = 25 square yards

Therefore, the area of the actual office space can be found by multiplying the scale drawing's area by the conversion factor squared:

- Actual area = Scale drawing's area * Conversion factor squared

- Actual area = 12 * 25 = 300 square yards

Therefore, the area of the actual office space is 300 square yards.

User Serhii Shynkarenko
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