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
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}.
WRONG
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}.
To find the length of the dining room in the drawing, we need to use the given scale of 5 millimeters : 2 meters.
First, we can set up a proportion to relate the actual length to the length in the drawing:
(Actual Length)/(Actual Scale) = (Drawing Length)/(Drawing Scale)
Let's plug in the values we know:
(4 meters)/(2 meters) = (Drawing Length)/(5 millimeters)
Now, we can solve for the length in the drawing:
Cross-multiply and divide:
(4 meters) * (5 millimeters) = (2 meters) * (Drawing Length)
20 millimeters = 2 meters * (Drawing Length)
We want to find the length of the dining room in millimeters, so we divide both sides by 2 meters:
20 millimeters / 2 meters = Drawing Length
Simplifying, we get:
10 millimeters = Drawing Length
Therefore, the length of the dining room in the drawing is 10 millimeters.