Answer:
The second scale gives us a bigger drawing than the first scale.
Explanation:
Let's draw the initial scale figure with its measures in centimeters:
So, if the scale is 1 cm to 30 meters, the true length of side A will be:
[tex]A=2\operatorname{cm}\times\frac{30\text{ meters}}{1\text{ cm}}=60\text{ meters}[/tex]
In the same way, the true length of sides B and D of a playground is:
[tex]\begin{gathered} B=2\operatorname{cm}\times\frac{30\text{ meters}}{1\text{ cm}}=60\text{ meters} \\ D=4\operatorname{cm}\times\frac{30\text{ meters}}{1\text{ cm}}=120\text{ meters} \end{gathered}[/tex]
Now, if we scale the length in meters to centimeter but using the new scale 1 cm to 20 meters, we get that the new scale lengths will be:
[tex]\begin{gathered} A=60\text{ meters}\times\frac{1\text{ cm}}{20\text{ meters}}=3\text{ cm} \\ B=60\text{ meters}\times\frac{1\text{ cm}}{20\text{ meters}}=3\text{ cm} \\ D=120\text{ meters}\times\frac{1\text{ cm}}{20\text{ meters}}=6\text{ cm} \end{gathered}[/tex]
So, the new scale drawing is:
Then, we can compare both scale drawing and observe that the second scale gives us a bigger drawing than the first scale.
