Jen made a scale drawing of a county park. The scale of the drawing was 13 inches : 6 yards. The picnic area is 42 yards wide in real life. How wide is the picnic area in the drawing? inches
Question
Jen made a scale drawing of a county park. The scale of the drawing was 13 inches : 6 yards. The picnic area is 42 yards wide in real life. How wide is the picnic area in the drawing? inches
Solution
To solve this problem, we need to set up a proportion using the given scale and the real-life measurement of the picnic area.
The scale is 13 inches (on the drawing) for every 6 yards (in real life).
So, we can set up the proportion as follows:
13 inches/6 yards = X inches/42 yards
We can solve for X by cross-multiplying:
6 yards * X inches = 13 inches * 42 yards
Then, divide both sides by 6 yards to solve for X:
X = (13 inches * 42 yards) / 6 yards
After doing the math, we find that X = 91 inches.
So, the picnic area would be 91 inches wide in the drawing.
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