Question

Oscar drew a scale drawing of a hotel. The scale of the drawing was 1 inch: 5 feet. The actual length of a room in the hotel is 15 feet. How long is the room in the drawing?

Answer 1

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.