Math  /  Geometry

QuestionLisa drew a scale drawing of an apartment. The dining room, which is 3 meters wide in real life, is 5 millimeters wide in the drawing. What is the drawing's scale factor?
Simplify your answer and write it as a fraction. \square
Submit

Studdy Solution

STEP 1

What is this asking? How much smaller is the drawing of the dining room compared to the real dining room? Watch out! Make sure to convert the units so they match before comparing the sizes!

STEP 2

1. Convert units
2. Calculate the scale factor

STEP 3

Alright, let's **convert** those meters to millimeters!
We know that 11 meter is equal to 10001000 millimeters.
So, 33 meters is 31000=30003 \cdot 1000 = \mathbf{3000} millimeters.
Boom!

STEP 4

The **scale factor** is the ratio of the drawing size to the real-life size.
We've got our drawing size as 5\mathbf{5} millimeters and our real-life size as 3000\mathbf{3000} millimeters.

STEP 5

So, the scale factor is 53000\frac{5}{3000}.
Now, let's **simplify** this fraction!
Both the numerator and the denominator are divisible by 55.
Dividing both by 55 gives us 5÷53000÷5=1600\frac{5 \div 5}{3000 \div 5} = \frac{1}{600}.
Awesome!

STEP 6

The scale factor of the drawing is 1600\frac{1}{600}.

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