Final answer:
To find the length of the room in the drawing, we use the scale of 1 inch to 5 feet and set up a proportion. We then solve for the unknown, finding that a 15-foot room in actual size is represented as 3 inches on the scale drawing.
Step-by-step explanation:
Oscar drew a scale drawing of a hotel with a scale of 1 inch to 5 feet. The actual length of a room in the hotel is 15 feet, and we need to discover how long the room is in the drawing. We can solve this problem using a simple ratio and proportion method.
First, we need to write down the scale as a ratio:
1 inch / 5 feet
Next, we set up a proportion to find the length of the room on the drawing:
1 inch / 5 feet = x inches / 15 feet.
Now, we will solve for x:
x inches * 5 feet = 1 inch * 15 feet
5x = 15
Dividing both sides by 5:
x = 15 / 5
x = 3 inches
Therefore, the length of the room in the drawing is 3 inches.