An architect makes a scale drawing. She uses 2 cm to represent 100 m. What is the scale ratio for her drawing? Show your work.
we need the same units, so change m to cm
ratio is
2:10000
= 1 : 5000
To find the scale ratio, we need to determine the ratio of the length on the drawing to the actual length. In this case, the architect uses 2 cm to represent 100 m.
To calculate the scale ratio, we can set up a proportion:
Actual length / Length on the drawing = Scale ratio
Let's assume the actual length is X meters.
Substituting the given values, we have:
X meters / 2 cm = 100 meters / 2 cm
Simplifying, we can cancel out the unit "cm" on both sides:
X meters / 1 = 100 meters / 1
Since the unit "meters" on both sides is the same, we can conclude that:
X = 100
Therefore, the scale ratio for the architect's drawing is 100:1 or simply 100.