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?

Question

millimeters

Answer 1

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}.

Answer 2

WRONG

Answer 3

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}.