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

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%
25
%
100%
Good work!
The area of the entire park on the map is 400 square in. The area of the picnic area is 100 square in. What percent of the park is the picnic area?
Area (square in)
0
100
400
0%
25%
100%

The picnic area is
% of the park.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To find what percent of the park is the picnic area, you can use the formula:

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

Given:

  • Area of the picnic area = 100 square in
  • Area of the entire park = 400 square in

Plugging these numbers into the formula:

\[ \text{Percent} = \left(\frac{100}{400}\right) \times 100 = 25% \]

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