Question

A scale drawing has a bathroom wall that is 8 inches long. The scale factor is 1/12. What is the length of the actual bathroom wall in inches? What is the length in feet?

Answer 1

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 $\frac{1}{12}$ .

Now, to find the length of the actual bathroom wall in inches and in feet.

Let the actual length of the bathroom wall be $x.$

The length of wall in scale drawing =  8 inches.

As, the scale factor is $\frac{1}{12}.$

So, 1 is equivalent to 12.

Thus, 8 is equivalent to $x.$

Now, to solve using cross multiplication method:

$\frac{1}{12} =\frac{8}{x}$

By cross multiplying we get:

$x=96\ inches.$

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 = $\frac{1}{12} \ foot$ .

96 inches = $\frac{96}{12}\ feet.$

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.