Question

HELP ASAP!!! The blueprint for Sam's dining hall uses a scale of 1 in.:14 ft. His dining hall on the blueprint is 5 in. long.

How long is the actual hall?

70 ft
50 ft
40 ft
60 ft

Answer 1

The answer is 70 ft, you cross multiply and get 70 = 1x or 70 = x

$\frac{1}{14} = \frac{5}{x}$

Answer 2

The actual length of the dining hall is 70 ft.

How to calculate original length of an object using scaling-

The blueprint for Sam's dining hall uses a scale of 1 in : 14 ft.

His length of dining hall in the blueprint is 5 in.

What is Reduced scaling ?

When the dimensions on the blueprint are smaller than the actual dimensions of the object, we use reduced scaling. It is represented by the scale and RF (Representative Fraction) as a new Scale.

Here we have the scaling as 1 in : 14 ft.

Thus to find the original length of the dining hall, we simply use proportion concept -

Let the original length of the hall be x feet.

  (1/14) = (5/x)

∴  x = 14*5 = 70 ft.

The actual length of the dining hall is 70 ft.

To learn more about finding the length of an object by reduced scaling, refer -

https://brainly.com/question/27852553

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