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Question
a building has a height of 125 meters and a length of 80 meters. on a scale drawing of the building, the height is 25 centimeters. what is the length of the building on the scale drawing in centimeters? f 55 cm g 16 cm h 20 cm j 64 cm
Step1: Find the scale factor
The actual height is 125 meters (which is 12500 centimeters) and the scaled height is 25 centimeters. So the scale factor is $\frac{25}{12500}=\frac{1}{500}$.
Step2: Calculate the scaled length
The actual length is 80 meters (8000 centimeters). Using the scale factor, the scaled length is $8000\times\frac{1}{500} = 16$ centimeters.
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G. 16 cm