Quincy measured a house and made a scale drawing. The living room, which is 4 meters long in real life, is 2 millimeters long in the drawing. What is the scale of the drawing?1 millimeter : ___ meters
Q. Quincy measured a house and made a scale drawing. The living room, which is 4 meters long in real life, is 2 millimeters long in the drawing. What is the scale of the drawing?1 millimeter : ___ meters
Identify Measurements: Identify the real-life measurement and the corresponding measurement on the drawing.Real-life length of the living room = 4 metersLength of the living room in the drawing = 2 millimetersWe need to find the ratio of the drawing length to the real-life length to determine the scale.
Set Up Ratio: Set up the ratio to find the scale of the drawing. Scale = Real-life measurementDrawing measurementScale = 4m2mm
Convert Units: Convert meters to millimeters to have the same units for the ratio.1 meter =1000 millimetersSo, 4 m =4×1000 mm =4000 mm
Calculate Scale: Calculate the scale using the converted measurements. Scale = 4000mm2mm
Simplify Ratio: Simplify the ratio to find the scale.Divide both the numerator and the denominator by 2.Scale = 40002 mm = 20001 mm
Write Final Scale: Write the scale in the format requested in the question prompt.1 millimeter : ____ metersSince 2000 mm is 2 m (because 2000 mm /1000 mm/m =2 m), the scale is:1 millimeter : 0.002 meters