Answer:
The length of the room in the drawing is 5 inches.
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 [tex]x.[/tex]
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, [tex]x[/tex] is equivalent to 20 feet.
Now, to get the length of the room in the drawing we use cross multiplication method:
[tex]\frac{1}{4} =\frac{x}{20}[/tex]
By cross multiplying we get:
[tex]20=4x[/tex]
Dividing both sides by 4 we get:
[tex]5=x[/tex]
[tex]x=5\ inches.[/tex]
Therefore, the length of the room in the drawing is 5 inches.