Question

What is the scale of a drawing in which a 9ft wall is 6cm long?

Answer 1

Answer:

.022

Step-by-step explanation:

If you scale something you basically multiply it by something.  if you draw something at two times the scale, you are doubling it.  so 9 ft would be scaled up to 18 foot.  if you draw it at half the scale you cut it in half, so 9 would be 4.5.

The question is asking what do you multiply 9 feet by to get 6 cm.  Now, it's not just 9 to 6, but feet to centimeters.  A quick googling says the conversion is 1 foot = 30.48 centimeters.  so 30.48*9 gets us 9 feet is 274.32 cm.  So now we can simply find the scale factor between 274.32 cm to 6 cm.  Since it is decreasing we know it is going to be less than 1.  You basically use algebra though.  what do you multiply 274.32 by to get to 6?

274.32x = 6

x = 6/274.32

x = .022

So the scale factor is about .022