A scale drawing of rectangular field is 8 cm by 3.5 cm. If the actual field has dimensions of 32 m by 14 m, which could be the scale used for the drawing?
A) 0.5 cm = 2 m
B) 0.5 cm = 3 m
C) 0.5 cm = 4 m
D) 0.5 cm = 10m

Question

A scale drawing of rectangular field is 8 cm by 3.5 cm.  If the actual field has dimensions of 32 m by 14 m, which could be the scale used for the drawing?
A) 0.5 cm = 2 m
B) 0.5 cm = 3 m
C) 0.5 cm = 4 m
D) 0.5 cm = 10m

anonymous · Answer

That's a problem of simple division. 

If you multiply 32 by .5, you get 16. 16 divided by 2 is 8.
Same for 14. Times .5, it's seven. Seven is twice the amount of 3.5

Basically, A.

anonymous · Answer

Because every 1/2 of the scale drawing is equal to 2 meters of the full scale thing.

calculusxy · Answer

I got the same answer, but this is how I thought of it.

If you do 32 / 8, you would get the quotient of 4.
If you do 14 / 3.2, you would get the quotient of 4. 

Since the ratio is that for every 1 cm in the drawing, then there would be 4 m. But in the choices, it says 0.5 cm, therefore, we would have to find half of 4, which is 2 m.

calculusxy · Answer

Thank you @TheLittleVixen

anonymous · Answer

That works too. And, you're welcome.