Question

Brody made a scale drawing of an apartment. The living room, which is 10 meters long in real life, is 24 millimeters long in the drawing. What scale did Brody use?
12 millimeters : meters

Answer 1

To find the scale, we need to determine the ratio between the length in the drawing and the length in real life.

Since the living room is 24 millimeters in the drawing and 10 meters in real life, the scale is:

24 millimeters : 10 meters

However, since meters and millimeters are different units of measurement, we need to convert one of them to match the other.

In this case, we should convert 10 meters to millimeters:

10 meters * 1000 millimeters/meter = 10,000 millimeters

Now, the scale is:

24 millimeters : 10,000 millimeters

To simplify the ratio, we can divide both measurements by their greatest common divisor, which is 8:

24 millimeters ÷ 8 = 3 millimeters
10,000 millimeters ÷ 8 = 1,250 millimeters

Therefore, the simplified scale is:

3 millimeters : 1,250 millimeters

To further simplify the scale, we can divide both measurements by 3:

3 millimeters ÷ 3 = 1 millimeter
1,250 millimeters ÷ 3 = 416.67 (rounded to the nearest hundredth)

Thus, the simplified scale is approximately:

1 millimeter : 416.67 millimeters

Or, in decimal form:

1 : 416.67

Answer 2

There’s 12 millimeters

Answer 3

Apologies for the confusion in my previous response. If there are 12 millimeters for every meter, then the correct scale would be:

12 millimeters : 1 meter