Answer:
Nathan use scale of 5 inches : 2 feet.
Explanation:
Given:
Nathan drew a scale drawing of a hotel.
A room in the hotel is 55 inches long in the drawing.
The actual room is 22 feet long.
Now, to find the scale Nathan use.
The scale drawing of room = 55 inches.
The actual room = 22 feet.
Now, to get the scale Nathan use we set the ratio:
The scale drawing of room : The actual room.
=
![55\ inches:22\ feet](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yvwqjky9jyhthgkc4gzd7ezli7h7pa871c.png)
![=(55)/(22)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mdr9igjzauga6iaksc2fqecypgu4zcao0g.png)
![=(5)/(2)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/6p4nzf6qdpph066htwhct33n224m5be5yp.png)
![=5\ inches:2\ feet.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/wmdphl4n7okw66v9rwfx9q2fkutt7j3ubx.png)
Therefore, Nathan use scale of 5 inches : 2 feet.