Answer:
1/2 units (I'm not sure what units the scale is using).
Step-by-step explanation:
We could setup a proportion. The trick to doing this is lining up corresponding parts.
The scale of a plan is 1 to 200.
We want to know the scale distance that represents the distance 100 m.
So we have:
1 to 200
x to 100
Setting up a proportion:
[tex]\frac{1}{x}=\frac{200}{100}[/tex]
Cross multiply:
[tex]100(1)=200(x)[/tex]
Divide both sides by 200:
[tex]\frac{100(1)}{200}=x[/tex]
[tex]\frac{100}{200}=x[/tex]
[tex]\frac{1}{2}=x[/tex]
[tex]x=\frac{1}{2}[/tex]
So a 1/2 units in length on the scale represents 100 m.
