On a scale drawing for a building, the height of the atrium is 8.4 centimeters. If the actual height is 33.6 meters, what is the scale of the drawing? In other words, how many meters are represented by 1 centimeter on the drawing? Round to the nearest meter.

Question

On a scale drawing for a building, the height of the atrium is 8.4 centimeters. If the actual height is 33.6 meters, what is the scale of the drawing? In other words, how many meters are represented by 1 centimeter on the drawing? Round to the nearest meter. ​

Quizplus · Accepted Answer

To find the scale of the drawing, we need to set up a proportion:
actual height / height on drawing = scale factor
33.6 meters / 8.4 centimeters = scale factor
Simplifying this fraction by multiplying the numerator and denominator by 10, we get:
336 meters / 84 centimeters = scale factor
Simplifying further by dividing both sides by 4, we get:
84 meters / 21 centimeters = scale factor
Simplifying even further by dividing both sides by 3, we get:
28 meters / 7 centimeters = scale factor
Therefore, 1 centimeter on the drawing represents 4 meters in reality, so the answer is D) 4 meters.

On a Scale Drawing for a Building, the Height of the Atrium