Answer:
The actual surface area is 320 square feet.
Step-by-step explanation:
Given:
The blueprint shows the inside surface area to be painted . The ratio of the blueprint of the actual house is 1 inch to 8 feet .
The surface are inside is 40 square inches.
Now, to find the actual surface area.
Let the actual surface area be [tex]x.[/tex]
The surface area on blueprint = 40 square inches.
As, given the ratio of the blueprint of the actual house is 1 inch to 8 feet.
So, 1 inch equivalent to 8 feet.
Thus, 40 square inches is equivalent to [tex]x.[/tex]
Now, to get the actual surface area by using cross multiplication method:
[tex]\frac{1}{8} =\frac{40}{x}[/tex]
By cross multiplying we get:
[tex]x=320\ square\ feet.[/tex]
Therefore, the actual surface area is 320 square feet.