The dimensions of a rectangular dining room are 18 feet by 16 feet. If a scale factor of One-fourth is used to make a scale model of the dining room, what is the area of the dining room in the scale model?
18 square feet
36 square feet
48 square feet
72 square feet

Question

Extrinix · Answer

So for scaling, you simply multiply the scale factor by the original length and width.

$\color{lime}{18ft \times 16ft}$ -> Your original area

Now if you multiply the scale factor.

$\color{lime}{(18ft \times \dfrac{1}{4}) \times (16ft \times \dfrac{1}{4})}$ -> Your scaled area

So simply solve that equation and you have your answer :)

valkraybff · Answer

@extrinix wrote:

So for scaling, you simply multiply the scale factor by the original length and width. $\color{lime}{18ft \times 16ft}$ -> Your original area Now if you multiply the scale factor. $\color{lime}{(18ft \times \dfrac{1}{4}) \times (16ft \times \dfrac{1}{4})}$ -> Your scaled area So simply solve that equation and you have your answer :)

WHAT

Extrinix · Answer

It's a pretty simple concept, lol

$\dfrac{1}{4}$ is your scaling factor

And since you're making a "model," it's a size decrease (which is why you multiply it)