Question

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
square in.

Answer 1

To find the area of the entire park represented on the scale drawing, you can use the formula for the area of a square, which is:

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

Given that the dimensions of the park are 20 inches by 20 inches, the area of the entire park is:

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

Now, let's find the area of the picnic area, which has dimensions of 10 inches by 10 inches:

\[
\text{Area of the picnic area} = 10 \, \text{in} \times 10 \, \text{in} = 100 \, \text{square inches}
\]

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

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

Substituting in the areas we found:

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

Thus, the percentage of the park that is the picnic area is **25%**.