samarahrazak
contestada

The blueprint scale is 1 inch : 9 feet if the gym's area is 60 square inches on the blueprint, what is the actual square footage of the gym

Respuesta :

bekkarmahdi702

Answer:

4860 ft^2

Step-by-step explanation:

9 feet is represented by 1 inch.

● 9 => 1

Square both sides

● 81 => 1

So a 81 ft^2 square is represented by a 1 in^2 square (picture below)

■■■■■■■■■■■■■■■■■■■■■■■■■■

The gym's area in the blueprint is 60 in^2

That 60 1in^2 squares.

● 1 => 81

● 1×60 => 81×60

We have multiplied both sides by 60

● 60 => 4860

So the original are is 4860 ft^2

Ver imagen bekkarmahdi702
Ver imagen bekkarmahdi702

The actual square footage of the gym will be 4860 square feet.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

There is no effect of dilation on the angle.

The blueprint scale is 1 inch : 9 feet.

Then the scale factor will be (1/9).

If the gym's area is 60 square inches on the blueprint.

Then the actual square footage of the gym will be

⇒ 60 / (scale factor)²

⇒ 60 / (1/9)²

⇒ 60 x 81

⇒ 4860 square feet

More about the dilation link is given below.

https://brainly.com/question/2856466

#SPJ2

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