Answer:
A. 10 m wide and 20 m long
B. Smaller
C. 5 cm wide and 10 cm long
Explanation:
Suppose that the scale drawing of a swimming pool is 10 cm wide and 20 cm long (see first figure attached).
A
If 1 cm represents 1 m, then 10 cm represents 10 meters and 20 cm represents 20 meters. So, the actual long of the swimming pool is 20 m and the actual wide is 10 m.
B
Knowing that 1 cm represents 2 m, then the next proportion let us calculate how many cm represent 10 m.
1/2 = x/10
(1/2)*10 = x
5 = x
So, 5 cm represents 10 m. In the same way, we can get that 10 cm represents 20 m. Consequently, the new draw will be smaller.
In general, because now 1 cm represents more meters, there less centimeters are needed to represent the same meters as before.
C
See the second figure attached.