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Diego made a scale drawing of a theater. The scale of the drawing was 1 inch : 3 feet. The

stage is 14 inches in the drawing. How long is the actual stage?
feet
Submit will mark braniest​

User Gflegar
by
9.0k points

1 Answer

1 vote

Answer:

The actual stage is 42 feet long

Explanation:

Step 1

Determine the conversion factor as shown;

1 inch in the drawing represents 3 feet in the actual drawing

To convert a measurement in inches in the drawing to an actual measurement, we use a conversion factor of 3. In the same way, to convert a measurement in feet in the actual stage to the drawing measurement in inches, we use a conversion factor of (1/3).

Step 2

Convert 14 inches in the drawing to the actual measurement of the stage as follows;

Actual stage length=drawing length×conversion factor

where;

drawing length=14 inches

conversion factor=3

replacing;

Actual stage length=(14×3)=42 feet

The actual stage is 42 feet long

User Jbyrd
by
8.1k points