Question

A toy train set includes a train station building which is a scale model of a real building. The area of

Answer 1

Answer:

$20$

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 $k$ is the scale factor of the sides.

So,

$\dfrac{400}{1}=k^2\\\Rightarrow k=\sqrt{400}\\\Rightarrow k=20$

Hence, the scale factor is $20$.