The blue print shows the inside surface area to be painted . The ratio of the blueprint of the actual house is 1 inch to 8 feet . The ratio of the surface area is ? . If the surface are inside is 40 square inches, the actual surface area is (?) square feet ?

Respuesta :

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.