A diagram has a scale of 1 cm 4 km. Find the scale factor of the diagram.

Question

asked Aug 17, 2023 19.1k views

1 Answer

Violeta · Answer 1 · 2023-08-21T22:59:30+0000

The diagram has a scale of 1cm to 4km as the problem said, then we can write

$1\operatorname{cm}\colon4\operatorname{km}$

If we want to find the scale factor, we must put 4km in cm, it will be 400000 cm, therefore

$1\operatorname{cm}\colon400000\operatorname{cm}$

Now we have them in the same units, we can "cut" the units on both sides, and we have

$1\colon400000$

We can also write it as a fraction:

$\text{scale factor=}(1)/(400000)$