Question

This is a scale drawing of an actual park. What percent of the park is the playground?
Start by finding the area of the entire park on the map.
A scale map of a park with dimensions 20 in by 20 in. Within the park are a picnic area and a playground with dimensions 16 in by 5 in.
The area of the entire park is
square in.

Answer 1

To find the area of the entire park on the map, we calculate the area of a rectangle using the formula:

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

Given the dimensions of the park are 20 inches by 20 inches:

\[
\text{Area of the park} = 20 \, \text{in} \times 20 \, \text{in} = 400 \, \text{square inches}
\]

Now, let's find the area of the playground, which has dimensions of 16 inches by 5 inches:

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

Next, we want to calculate what percent of the park is the playground. To do this, we use the formula for percent:

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

Substituting the areas we found:

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

So, the playground makes up **20%** of the park.

To summarize:
- The area of the entire park is **400 square inches**.
- The playground is **20%** of the park.