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

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 picnic area and a playground with dimensions 16 in by 5 in.
The area of the entire park is
400
square in.
Excellent!
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
square in.

Answer 1

To find the area of the playground on the map, you can use the formula for the area of a rectangle:

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

For the playground dimensions given (16 in by 5 in):

\[ \text{Area of the playground} = 16 \text{ in} \times 5 \text{ in} = 80 \text{ square in} \]

So, the area of the playground is 80 square inches.

Next, to find what percent of the park is the playground, you can use the following formula:

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

Now, substituting in the values:

\[ \text{Percentage} = \left( \frac{80 \text{ square in}}{400 \text{ square in}} \right) \times 100 = 20% \]

Therefore, the playground occupies 20% of the park.