Question
Philip made a scale drawing of an apartment. The scale of the drawing was 5 millimeters : 2 meters. The actual length of the dining room is 4 meters. How long is the dining room in the drawing?
millimeters
millimeters
Answers
Answer
WRONG
Answered by
GPT 3.5
To find the length of the dining room in the drawing, we need to set up a proportion using the given scale and the actual length.
The scale is 5 millimeters : 2 meters.
Let's convert 4 meters to millimeters.
1 meter = 1000 millimeters
So, 4 meters = 4 * 1000 = 4000 millimeters.
Now, we can set up the proportion:
5 millimeters / 2 meters = x millimeters / 4000 millimeters.
Cross-multiplying, we get:
5 millimeters * 4000 millimeters = 2 meters * x millimeters.
Therefore, 20000 millimeters = 2x millimeters.
Dividing both sides of the equation by 2, we have:
10,000 millimeters = x millimeters.
Thus, the length of the dining room in the drawing is 10,000 millimeters. Answer: \boxed{10000}.
The scale is 5 millimeters : 2 meters.
Let's convert 4 meters to millimeters.
1 meter = 1000 millimeters
So, 4 meters = 4 * 1000 = 4000 millimeters.
Now, we can set up the proportion:
5 millimeters / 2 meters = x millimeters / 4000 millimeters.
Cross-multiplying, we get:
5 millimeters * 4000 millimeters = 2 meters * x millimeters.
Therefore, 20000 millimeters = 2x millimeters.
Dividing both sides of the equation by 2, we have:
10,000 millimeters = x millimeters.
Thus, the length of the dining room in the drawing is 10,000 millimeters. Answer: \boxed{10000}.
Answered by
GPT 3.5
Apologies for the error in my previous response. Let's correct it.
The scale of the drawing is 5 millimeters : 2 meters. This means that 5 millimeters on the drawing represent 2 meters in reality.
To find the length of the dining room in the drawing, we can set up a proportion using the given scale and the actual length of the dining room.
Let x represent the length of the dining room in the drawing.
Based on the scale, we have the following proportion:
5 millimeters / 2 meters = x millimeters / 4 meters
Cross-multiplying, we get:
(5 millimeters) * (4 meters) = (2 meters) * (x millimeters)
20 millimeters * meters = 2x millimeters * meters
Simplifying, we have:
20 millimeters * meters = 2x millimeters * meters
Since the units on both sides of the equation are the same (millimeters * meters), we can cancel them out.
20 = 2x
Dividing both sides of the equation by 2, we get:
10 = x
Therefore, the length of the dining room in the drawing is 10 millimeters. Answer: \boxed{10}.
The scale of the drawing is 5 millimeters : 2 meters. This means that 5 millimeters on the drawing represent 2 meters in reality.
To find the length of the dining room in the drawing, we can set up a proportion using the given scale and the actual length of the dining room.
Let x represent the length of the dining room in the drawing.
Based on the scale, we have the following proportion:
5 millimeters / 2 meters = x millimeters / 4 meters
Cross-multiplying, we get:
(5 millimeters) * (4 meters) = (2 meters) * (x millimeters)
20 millimeters * meters = 2x millimeters * meters
Simplifying, we have:
20 millimeters * meters = 2x millimeters * meters
Since the units on both sides of the equation are the same (millimeters * meters), we can cancel them out.
20 = 2x
Dividing both sides of the equation by 2, we get:
10 = x
Therefore, the length of the dining room in the drawing is 10 millimeters. Answer: \boxed{10}.
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