Question

Kenneth measured a hotel and made a scale drawing. The scale he used was 1 inch = 4 feet. The actual length of a room in the hotel is 20 feet. How long is the room in the drawing?

(It may be helpful to set up a proportion.)

(1 point)
Answer =
inches

Answer 1

To find the length of the room in the drawing, we can use the scale provided. The scale given is 1 inch = 4 feet.

The actual length of the room is 20 feet. We need to find the corresponding length in the drawing in inches.

We can set up a proportion:

\[
\frac{\text{Length in Drawing (in inches)}}{\text{Actual Length (in feet)}} = \frac{1 \text{ inch}}{4 \text{ feet}}
\]

Let \( x \) be the length of the room in the drawing in inches.

Now we can set up the equation:

\[
\frac{x}{20} = \frac{1}{4}
\]

To solve for \( x \), we can cross-multiply:

\[
4x = 20
\]

Now divide both sides by 4:

\[
x = \frac{20}{4} = 5
\]

Therefore, the length of the room in the drawing is:

**Answer = 5 inches**.