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Gabriel measured a house and made a scale drawing. The garage, which is meters long in real life, is millimeters long in the drawing. What scale did Gabriel use for the drawing? millimeter : meters
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Q. Gabriel measured a house and made a scale drawing. The garage, which is meters long in real life, is millimeters long in the drawing. What scale did Gabriel use for the drawing? millimeter : meters
- Given lengths: We have:Length of the garage in real life = metersLength of the garage in drawing = millimetersWe need to find the ratio of the length in the drawing to the length in real life to determine the scale.Ratio = Length of the garage in drawing / Length of the garage in real lifeRatio =
- Convert to same units: To compare the lengths in the same units, we need to convert meters to millimeters because the drawing is measured in millimeters. We know that meter millimeters.So, meters millimeters millimeters.
- Find ratio: Now we can find the scale by dividing the length of the garage in the drawing by the length of the garage in real life (in millimeters).Scale =
- Simplify ratio: Simplify the scale by dividing both the numerator and the denominator by .Scale = Scale =
- Final scale: Since we want the scale in terms of millimeters to meters, we need to convert the denominator back to meters from millimeters. millimeters meters metersSo, the scale is mm : m
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