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Can someone please help.

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 blueprint is 48in^2

What is the area of the actual stage?

A.) 288ft^2

B.) 864ft^2

C.) 1728 ft^2

D.) 10,368ft^2

Respuesta :

Answer: Option 'A' is correct.

Step-by-step explanation:

Scale factor of the blueprint of a theater stage to the actual theater stage is

[tex]1\ in:6\ ft\\[/tex]

Since the area of the stage on the blueprint = 48 in²

So, we need to find the area of the actual stage :

[tex]\frac{1}{6}=\frac{48}{\text{Area of actual stage}}\\\\ 6\times 48=\text{ Area of actual stage}\\\\288\ ft^2=\text{ Area of actual stage}[/tex]

Hence, Option 'A' is correct.

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