Question

scale: 1 inch : 4 feet. what is the actual area of the living room? blueprint area 15 in² actual area ? ft²

Explanation:

Step1: Find the scale - factor for area

The linear scale is 1 inch : 4 feet. For area, the scale - factor is the square of the linear scale - factor. The linear scale factor $k = 4$ (since 1 inch represents 4 feet), and the area scale factor $k^{2}=4^{2}=16$.

Step2: Calculate the actual area

The blueprint area is 15 square inches. To find the actual area $A$, we multiply the blueprint area by the area scale - factor. So $A = 15\times16$.
$A=240$

Answer:

240