Question

scale: 1 inch : 3 feet. what is the actual area of the bedroom? blueprint area 12 in². actual area ? ft²

Explanation:

Step1: Find the area - scale factor

The linear - scale factor is 1 inch : 3 feet. For area, the area - scale factor is the square of the linear - scale factor. Since the linear scale factor is 3 (because 1 inch represents 3 feet), the area - scale factor is $3^2=9$.

Step2: Calculate the actual area

Multiply the blueprint area by the area - scale factor. The blueprint area is 12 square inches. So the actual area $A = 12\times9$.
$A = 108$ square feet.

Answer:

108