Kevin drew a scale drawing of a boarding school. The scale of the drawing was 1 millimeter : 3 meters. A building at the school is 150 meters long in real life. How long is the building in the drawing? millimeters
Question
Kevin drew a scale drawing of a boarding school. The scale of the drawing was 1 millimeter : 3 meters. A building at the school is 150 meters long in real life. How long is the building in the drawing? millimeters
Solution
To find the length of the building in the drawing, we need to use the scale provided.
Step 1: Understand the scale. The scale is 1 millimeter : 3 meters. This means that 1 millimeter on the drawing represents 3 meters in real life.
Step 2: Set up a proportion. We can set up a proportion to find the length of the building on the drawing. The proportion is 1 mm / 3 m = x mm / 150 m.
Step 3: Solve for x. Cross-multiply to solve for x.
1 mm * 150 m = 3 m * x mm
150 mm = 3x
x = 150 / 3
x = 50 mm
So, the building is 50 millimeters long in the drawing.
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