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A scale on a blue print drawing of a house shows that 6 centimeters represents 3 meters.
What number of centimeters on the blue print represents an actual distance of 27 meters?
centimeters

A scale on a blue print drawing of a house shows that 66 centimeters represents 33 meters.\newlineWhat number of centimeters on the blue print represents an actual distance of 2727 meters?\newlinecentimeters

Full solution

Q. A scale on a blue print drawing of a house shows that 66 centimeters represents 33 meters.\newlineWhat number of centimeters on the blue print represents an actual distance of 2727 meters?\newlinecentimeters
  1. Establish Scale Ratio: First, we need to establish the scale ratio between the blueprint and the actual size. The scale given is 66 centimeters on the blueprint represents 33 meters in actual size.
  2. Determine Centimeters to Meters Ratio: Next, we need to determine the ratio of centimeters to meters according to the scale. This is found by dividing the number of centimeters on the blueprint by the number of meters they represent.\newlineRatio = 6cm3m\frac{6\,\text{cm}}{3\,\text{m}}
  3. Convert Ratio to Centimeters per Meter: To make it easier to use, we can convert the ratio into centimeters per meter by dividing both sides of the ratio by 33.\newlineRatio = (6cm/3m)/3=2cm/1m(6 \, \text{cm} / 3 \, \text{m}) / 3 = 2 \, \text{cm} / 1 \, \text{m}
  4. Calculate Blueprint Distance: Now, we need to use this ratio to find out how many centimeters on the blueprint represent an actual distance of 2727 meters. We do this by multiplying the actual distance by the ratio.\newlineBlueprint distance = Actual distance * Ratio\newlineBlueprint distance = 2727 m * 22 cm/m
  5. Perform Multiplication: Perform the multiplication to find the blueprint distance.\newlineBlueprint distance = 27×2cm27 \times 2\,\text{cm}\newlineBlueprint distance = 54cm54\,\text{cm}

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