Subjects geometry

Motel Scale F1Be8E

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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?
1. **State the problem:** We have a scale drawing where the scale is $$6 \text{ in.} : 30 \text{ yd}$$ and the east side length in the drawing is $$2 \text{ in.}$$. 2. **Understand the scale:** The scale means that $$6$$ inches on the drawing corresponds to $$30$$ yards in actual length. 3. **Find the scale factor:** To find the actual length corresponding to $$1$$ inch on the drawing, divide the actual length by the drawing length: $$\text{Scale factor} = \frac{30 \text{ yd}}{6 \text{ in.}} = 5 \text{ yd/in.}$$ 4. **Calculate the actual length of the east side:** Multiply the drawing length by the scale factor: $$\text{Actual length} = 2 \text{ in.} \times 5 \text{ yd/in.} = 10 \text{ yd}$$ 5. **Answer the question about the multiplier:** The number you multiply each length in the scale drawing by to find the actual length is $$5$$. **Final answers:** - Actual length of east side: $$10 \text{ yd}$$ - Multiplier for scale: $$5$$
East 2 in.Scale 6 in. : 30 yd