Alvin made a scale drawing of a house and its lot. The scale he used was 13 millimeters : 6 meters. The actual width of the lawn in the backyard is 18 meters. How wide is the lawn in the drawing?
Question
Alvin made a scale drawing of a house and its lot. The scale he used was 13 millimeters : 6 meters. The actual width of the lawn in the backyard is 18 meters. How wide is the lawn in the drawing?
Solution
To solve this problem, we need to set up a proportion using the given scale and the actual width of the lawn.
The given scale is 13 millimeters : 6 meters. This can be written as 13/6.
We know the actual width of the lawn is 18 meters, and we need to find the width on the drawing. Let's call this width x.
So, we can set up the proportion as follows:
13/6 = x/18
To solve for x, we cross-multiply:
6x = 1318
Then, we divide both sides by 6 to solve for x:
x = (13*18) / 6
x = 39 millimeters
So, the width of the lawn in the drawing is 39 millimeters.
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