Question

Please help!!Here is a scale drawing of a playground. The scale is 1 centimeter to 30 meters. Make another scale drawing of the same playground at a scale of 1 centimeter to 20 meters. Take a picture of your drawing and upload it. Then, answer the following question: How do the two scale drawings compare?

Answer 1

The second scale gives us a bigger drawing than the first scale.

Step-by-step 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:

In the same way, the true length of sides B and D of a playground is:

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:

`\begin{gathered} A=60\text{ meters}*\frac{1\text{ cm}}{20\text{ meters}}=3\text{ cm} \\ B=60\text{ meters}*\frac{1\text{ cm}}{20\text{ meters}}=3\text{ cm} \\ D=120\text{ meters}*\frac{1\text{ cm}}{20\text{ meters}}=6\text{ cm} \end{gathered}`

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.