Question

Madison made a scale drawing of a cat play area she is despite an animal shelter.

Use the ratio table to find the missing side length of the play area.

Scale drawing in. Actual Play area
5. 15
10

Answer 1

To find the missing side length of the play area using the ratio from the scale drawing to the actual play area, we can set up a proportion.

From the ratio table you provided, we have the following information:

- Scale drawing: 5 units corresponds to Actual play area: 15 units.
- Scale drawing: 10 units corresponds to the Actual play area: x units (the missing value).

We can set up the proportion based on the given ratio:

\[
\frac{5}{15} = \frac{10}{x}
\]

Now, we can solve for \( x \). First, we can simplify the left side:

\[
\frac{5}{15} = \frac{1}{3}
\]

Now, substituting back into the proportion gives us:

\[
\frac{1}{3} = \frac{10}{x}
\]

Next, we can cross multiply:

\[
1 \cdot x = 3 \cdot 10
\]

\[
x = 30
\]

Thus, the missing side length of the actual play area is **30 units**.