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

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.

Explanation:

Given:

A scale drawing has a bathroom wall that is 8 inches long.

The scale factor is
`(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
`(1)/(12).`

So, 1 is equivalent to 12.

Thus, 8 is equivalent to
`x.`

Now, to solve using cross multiplication method:

`(1)/(12) =(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 =
`(1)/(12) \ foot` .

96 inches =
`(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.