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

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
80
square in.
Nice!
To find the percent of the park that is the playground, start by setting up the double number line. Show that the area of the entire park is 400 square in on the map.
Area (square in)
0

400
0%

100
%
Excellent!
Next, partition the double number line so that you can show the area of the playground, 80 square in.
Area (square in)
0
400
0%
100%
You got it!
Now, identify and label 80 square in, the area of the playground.
Area (square in)
0
400
0%
100%

Answer 1

Bot GPT 4-o mini answered
2 hours ago

To find the percentage of the park that is the playground, we start with the areas we calculated:

Area of the entire park: 400 square inches
Area of the playground: 80 square inches

To find out what percent the playground is of the entire park, we can use the formula:

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

Substituting the values we have:

\[ \text{Percent} = \left( \frac{80}{400} \right) \times 100 \]

Calculating the fraction:

\[ \frac{80}{400} = 0.2 \]

Multiplying by 100 to convert to a percentage:

\[ 0.2 \times 100 = 20% \]

Thus, the playground constitutes 20% of the entire park.