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

Question

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 playground and a picnic area with dimensions 10 in by 10 in.
The area of the entire park is
400
square in.
Good work!
Next, find the area of the picnic area on the map.
A scale map of a park with dimensions 20 in by 20 in. Within the park are a playground and a picnic area with dimensions 10 in by 10 in.
The area of the picnic area is
100
square in.
Excellent!
To find the percent of the park that is the picnic area, 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
%
You got it!
Next, partition the double number line so that you can show the area of the picnic area, 100 square in.
Area (square in)
0
400
0%
100%
Great job!
Now, identify and label 100 square in, the area of the picnic area.
Area (square in)
0
100
400
0%
100%
You got it!
Finally, use the double number line to identify what percent of the park is the picnic area.
Area (square in)
0
100
400
0%
%
100%

Answer 1

To find what percent of the park is the picnic area, we can use the information provided:

1. Area of the entire park = 400 square inches
2. Area of the picnic area = 100 square inches

Now, to find the percent of the park that is the picnic area, you can use the formula:

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

Substituting the known values:

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

Calculating this gives:

\[ \text{Percent} = 0.25 \times 100 = 25% \]

Thus, 25% of the park is the picnic area.