Dexter makes a scale drawing of his room. In real life, the room is 10' wide and 12'6" long. In Dexter's drawing, the room is 4"wide, what measure should the length be? explain how you figure this out.

I multipled 12.6Γ—4Γ·10=5.04 so you can just say that when it asks you to explain the answer 😊.

4"/10'=z/12.5'

z=4 * (12.5/10)

(12.6 *4)/10 = 5.04

No because if you do 42.4 divided by 10 that's 4.24 not 5.04

To figure out the length of the room in Dexter's scale drawing, we can use the concept of proportions.

First, we need to determine the scale factor between the real-life room and Dexter's drawing. The scale factor is the ratio of the length in the drawing to the actual length. In this case, the width of the room in Dexter's drawing is 4 inches, while the actual width is 10 feet (which can be converted to inches as 120 inches). So, the scale factor for the width is 4 inches to 120 inches.

Now, we can use this scale factor to find the length in Dexter's drawing. We know that the scale factor for width should be the same as the scale factor for the length. Therefore, we can set up a proportion:

width in drawing / width in actual = length in drawing / length in actual

Substituting in the given values:

4 inches / 120 inches = length in drawing / 12.5 feet (which can be converted to inches as 150 inches)

Simplifying the proportion:

4/120 = length in drawing / 150

Cross-multiplying:

4 * 150 = 120 * length in drawing

600 = 120 * length in drawing

Dividing both sides by 120:

600 / 120 = length in drawing

5 = length in drawing

Therefore, the length of the room in Dexter's scale drawing should be 5 inches.