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.

1 answer

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:

Area=length×width

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

Area of the park=20,in×20,in=400,square inches

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

Area of the picnic area=10,in×10,in=100,square inches

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

Percent=(Area of the picnic areaArea of the entire park)×100

Substituting in the areas we found:

Percent=(100,square inches400,square inches)×100=25

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