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Diana made a scale drawing of a campground. The scale she used was 2 inches : 1 yard. The picnic area is 128 inches wide in the drawing. How wide is the actual picnic area?

User Barguast
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Final answer:

The actual width of the picnic area is 192 feet, calculated by using the scale conversion of 2 inches to 1 yard and knowing there are 3 feet in 1 yard.

Step-by-step explanation:

The subject of this question is Mathematics, specifically focusing on scale drawings and proportional relationships. The student asks about converting a measurement in a scale drawing to the actual measurement in real life. For Diana's scale drawing of a campground, where 2 inches represent 1 yard, we need to find the width of the actual picnic area when it's 128 inches wide in the drawing.

To solve this, first determine the conversion factor that the scale represents. Since 2 inches on the drawing correspond to 1 yard in reality, you can set up a proportion to convert 128 inches to yards. The proportion is 2 inches/1 yard = 128 inches/x yards. Solving for x gives us x = 128/2, which simplifies to x = 64 yards. There are 3 feet in 1 yard, so the actual width in feet is 64 yards * 3 feet/yard = 192 feet. Therefore, the picnic area is 192 feet wide in reality.

User Ktamlyn
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