Answer:
The length of the room in the drawing is <u>5 inches</u>.
Step-by-step 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://tex.z-dn.net/?f=x.)
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:
<em />
<em />
<em>By cross multiplying we get:</em>
![20=4x](https://tex.z-dn.net/?f=20%3D4x)
<em>Dividing both sides by 4 we get:</em>
![5=x](https://tex.z-dn.net/?f=5%3Dx)
![x=5\ inches.](https://tex.z-dn.net/?f=x%3D5%5C%20inches.)
Therefore, the length of the room in the drawing is 5 inches.