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Oscar measured a theater and made a scale drawing. He used the scale 3 inches : 2 feet. If the stage is 42 inches wide in the drawing, how wide is the actual stage? feetSubmit

Question

Oscar measured a theater and made a scale drawing. He used the scale 3 inches : 2 feet. If the stage is 42 inches wide in the drawing, how wide is the actual stage? feetSubmit

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Solution

To solve this problem, we need to set up a proportion to find the actual width of the stage.

The scale is 3 inches (on the drawing) : 2 feet (actual).

This can be written as 3/2 = 42/x, where x is the actual width of the stage in feet.

Cross-multiplying gives us 3x = 84.

Dividing both sides by 3, we find that x = 28.

So, the actual width of the stage is 28 feet.

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