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21 December, 03:54

The scale factor of the blueprint of a theater stage to the actual theater stage is 1in/6ft. the area of the stage on the blue print is 48in^2. what is the area of the actual stage?

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  1. 21 December, 06:01
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    Answer: 1728ft^2

    The scale of the blueprint is 1in=6ft and the area of the stage is 48in^2. To convert the area, you just need to find the scale with inch^2. The equation would be:

    1 inch=6ft

    inch^2 = x ft^2

    (6ft) ^2 = x ft^2

    36ft^2 = x ft^2

    x=36

    1 inch^2 = 36 ft^2

    area of the actual stage = 48 inch^2 * (36 ft^2/inch^2) = 1728ft^2
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