Answer: Disagree. The actual area is [tex]8,640\ ft^2[/tex] (See explanation)
Step-by-step explanation:
Let be "x" the actual area of the the restaurant.
You know that the scale of the map is 1 inches to 12 feet. This can be written as a fraction:
[tex]\frac{1\ in}{12\ ft}[/tex]
Calculate the scale drawing area of the restaurant. This is:
[tex](\frac{1\ in}{12\ ft})^2=\frac{1\ in^2}{144\ ft^2}[/tex]
Since the area of the restaurant is [tex]60\ in^2[/tex] on the map, you can set up this proportion and then solve for "x" in order to find the actual area of the restaurant.
This is:
[tex]\frac{144\ ft^2}{1\ in^2}=\frac{x}{60\ in^2}\\\\(60\ in^2)(\frac{144\ ft^2}{1\ in^2})=x\\\\x=8,640\ ft^2[/tex]
Therefore, what Han says is incorrect.
