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
400
square in.
Great job!
Next, find the area of the playground 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 playground is
square in.

Answer 1

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.