Respuesta :
Answer:
The length of the actual bathroom wall in inches is 96 inches.
And the length of the actual bathroom wall in feet is 8 feet.
Step-by-step explanation:
Given:
A scale drawing has a bathroom wall that is 8 inches long.
The scale factor is [tex]\frac{1}{12}[/tex] .
Now, to find the length of the actual bathroom wall in inches and in feet.
Let the actual length of the bathroom wall be [tex]x.[/tex]
The length of wall in scale drawing = 8 inches.
As, the scale factor is [tex]\frac{1}{12}.[/tex]
So, 1 is equivalent to 12.
Thus, 8 is equivalent to [tex]x.[/tex]
Now, to solve using cross multiplication method:
[tex]\frac{1}{12} =\frac{8}{x}[/tex]
By cross multiplying we get:
[tex]x=96\ inches.[/tex]
The actual length of the bathroom wall is 96 inches.
Now, to get the actual length of bathroom wall in feet we use conversion factor:
1 inch = [tex]\frac{1}{12} \ foot[/tex] .
96 inches = [tex]\frac{96}{12}\ feet.[/tex]
96 inches = 8 feet.
Thus, the actual length of bathroom wall in feet is 8 feet.
Hence, the length of the actual bathroom wall in inches is 96 inches.
And the length of the actual bathroom wall in feet is 8 feet.
