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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? yards

Question

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? yards

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Solution

To solve this problem, we need to set up a proportion using the scale Diana used and the width of the picnic area in the drawing.

The scale is 2 inches (on the drawing) : 1 yard (actual).

We know that the picnic area is 128 inches wide on the drawing. We want to find out the actual width in yards.

So, we set up the proportion like this:

2 inches (drawing) : 1 yard (actual) = 128 inches (drawing) : X yards (actual)

To solve for X, we cross-multiply:

2 inches * X yards = 1 yard * 128 inches

This simplifies to:

2X = 128

Then, we divide both sides by 2 to solve for X:

X = 128 / 2

X = 64

So, the actual width of the picnic area is 64 yards.

This problem has been solved

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