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joel made a scale drawing of a boarding school. a building at the schoo…

Question

joel made a scale drawing of a boarding school. a building at the school is 16 millimeters wide in the drawing. the actual building is 20 meters wide. what is the scale of the drawing? 4 millimeters : meters

Explanation:

Step1: Convert units to match

First, convert 20 meters to millimeters: $20 \text{ m} = 20 \times 1000 = 20000 \text{ mm}$

Step2: Find base scale ratio

Set up the ratio of drawing to actual: $\frac{16 \text{ mm}}{20000 \text{ m}} = \frac{1 \text{ mm}}{1250 \text{ mm}}$, or $1 \text{ mm} : 1.25 \text{ m}$

Step3: Scale to 4 millimeters

Multiply both sides by 4: $4 \times 1 \text{ mm} : 4 \times 1.25 \text{ m}$

Answer:

5