This is a scale drawing of an actual park. What percent of the park is the playground?

To find the area of the playground, we can use the formula for the area of a rectangle, which is:

\[ \text{Area} = \text{length} \times \text{width} \]

For the playground, the dimensions are 16 inches by 5 inches. Therefore, the area can be calculated as follows:

\[ \text{Area of the playground} = 16 , \text{in} \times 5 , \text{in} = 80 , \text{square inches} \]

Now, to find the percentage of the park that the playground occupies, we can use the following formula:

\[ \text{Percentage} = \left( \frac{\text{Area of the playground}}{\text{Area of the entire park}} \right) \times 100 \]

Substituting the values we found:

\[ \text{Percentage} = \left( \frac{80 , \text{square in}}{400 , \text{square in}} \right) \times 100 = 20% \]

So, the area of the playground is 80 square inches, and it occupies 20% of the area of the park.