A scale drawing showing the distance from your house to the school has a scale of 1.5 cm to 5 km. If the actual distance from your house to the school is 30 km, what is the distance on the drawing?
The answer is 9
In Virginia, the Grand Caverns is approximately 35 kilometers from the Frontier Culture Museum. You make a drawing of the two locations with a scale of 6 inches representing 35 kilometers. How far apart do you draw the Grand Caverns and Frontier Culture Museum?
35 km *( 6" /35km) = 6"
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To find the distance on the drawing, you need to use the ratio provided by the scale. The scale states that 1.5 cm represents 5 km.
First, calculate the ratio: 1.5 cm / 5 km.
To find the distance on the drawing, you need to set up a proportion using the ratio.
Let "x" be the distance on the drawing that you want to find.
The proportion is set up as follows:
1.5 cm / 5 km = x cm / 30 km
To solve for "x," you can cross-multiply:
1.5 cm * 30 km = 5 km * x cm
45 cm km = 5 km * x cm
To isolate "x," divide both sides of the equation by 5 km:
45 cm km / 5 km = x cm
9 cm = x
Therefore, the distance on the drawing is 9 cm.