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?

Question

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

(1 point)

Answer 1

To solve the problem using the scale provided, we can set up a proportion.

The scale states that 1 inch in the drawing corresponds to 4 feet in actual size.

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

We can set up the following proportion:

\[ \frac{x \text{ inches}}{20 \text{ feet}} = \frac{1 \text{ inch}}{4 \text{ feet}} \]

Now, cross-multiply to find \( x \):

\[ x \cdot 4 = 20 \cdot 1 \]

This simplifies to:

\[ 4x = 20 \]

Now, divide both sides by 4:

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

Thus, the length of the room in the drawing is 5 inches.