2 Answers

Muhwu · Answer 1 · 2022-05-16T18:16:35+0000

The scale factor between the real building and the toy building is 400.

To find the scale factor, we need to compare the area of the real building's front side with the area of the toy building's front side.

The area of the real building's front side is 400 square feet and the area of the toy building's front side is 1 square foot.

To find the scale factor, we divide the area of the real building by the area of the toy building:

Scale factor = Area of Real Building / Area of Toy Building

Scale factor = 400 square feet / 1 square foot = 400

Therefore, the scale factor is 400, meaning that the real building is 400 times larger than the toy building.

Calley · Answer 2 · 2022-05-22T22:06:47+0000

Answer:

Step-by-step explanation:

The area of the front side of the toy model is
$1\ \text{ft}^2$

The area of the real building's front side is
$400\ \text{ft}^2$

So

$1\ \text{ft}^2$ of the toy model is equivalent to
$400\ \text{ft}^2$ of the real building.

Area scale factor is given by
k^2 , where
is the scale factor of the sides.

So,

$(400)/(1)=k^2\\\Rightarrow k=√(400)\\\Rightarrow k=20$

Hence, the scale factor is
.

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