Question

Clarence measured a city park and made a scale drawing. The soccer field, which is 60 meters wide in real life, is 90 millimeters wide in the drawing. What is the scale of the drawing?

Answer 1

The scale of the drawing is 1:666.67, which means 1 millimeter on the drawing represents 666.67 millimeters, or 0.667 meters, in real life.

Step-by-step explanation:

The student is asking about the scale of a drawing based on a measurement of a soccer field. The field is 60 meters in real life and 90 millimeters on the drawing. To find the scale, we divide the drawing width by the actual width.

Scale = Drawing Width / Actual Width = 90 mm / 60 m

First, we need to convert the actual width to millimeters because the scale is dimensionless and both measurements must be in the same units.
1 meter = 1000 millimeters, so 60 meters = 60,000 millimeters.

Scale = 90 mm / 60,000 mm = 1 / 666.67

The scale of the drawing is 1:666.67, meaning 1 millimeter on the drawing represents 666.67 millimeters in real life.