Answer:
The length of the room in the drawing is 5 inches.
Explanation:
Given:
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.
Now, to find the length of the room in the drawing.
Let the length of the room in the drawing be
![x.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mmi228653dkvma4dszwy75q6dvkduzr4zg.png)
The actual length of the room = 20 feet.
The scale used in drawing is 1 inch = 4 feet.
As, 1 inch is equivalent to 4 feet.
Thus,
is equivalent to 20 feet.
Now, to get the length of the room in the drawing we use cross multiplication method:
![(1)/(4) =(x)/(20)](https://img.qammunity.org/2021/formulas/mathematics/high-school/pqwa3sik8pqp4l3j9853k69dffm6fqutsk.png)
By cross multiplying we get:
![20=4x](https://img.qammunity.org/2021/formulas/mathematics/high-school/hagg6vus7mfo1e5kndgvukyv04ua9jmjx9.png)
Dividing both sides by 4 we get:
![5=x](https://img.qammunity.org/2021/formulas/mathematics/high-school/uzj6sjhhakbk6pjb2daalvgmz0jtksrdc2.png)
![x=5\ inches.](https://img.qammunity.org/2021/formulas/mathematics/high-school/4qmiy899rlkb8gms93n94pevl1a4tw2p8r.png)
Therefore, the length of the room in the drawing is 5 inches.