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Question
the scale drawing shows the dimensions of a motel. the scale is shown in the drawing. find the actual length of the east side.
what number can you multiply each length in the scale drawing by to find the actual length?
motel fire safety map
east 2 in.
scale = 6 in. : 30 yd
Step1: Understand the scale
The scale is given as \(6\) in. : \(30\) yd. We need to find the multiplier, which is the actual length per inch in the drawing.
Step2: Calculate the multiplier
To find how many yards each inch in the drawing represents, we divide the actual length by the drawing length. So, \(\frac{30\ \text{yd}}{6\ \text{in.}} = 5\ \text{yd per in.}\)
Step3: Find the actual length of the east side
The east side in the drawing is \(2\) in. long. Multiply the drawing length by the multiplier: \(2\ \text{in.} \times 5\ \text{yd/in.} = 10\ \text{yd}\) (for the actual length part, but the first sub - question is about the multiplier, which is \(5\))
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For the question "What number can you multiply each length in the scale drawing by to find the actual length?", the number is \(5\). For the actual length of the east side, it is \(10\) yards. (If we consider the first sub - question about the multiplier, the answer is \(5\); if we consider the actual length of the east side, the answer is \(10\) yards. Based on the first sub - question in the prompt, the answer for the multiplier is \(5\))