200k views
3 votes
If a park is 75 mi.² what is the area of the park on the map if the scale is 1 inch equals 5 miles ?

User Starthal
by
7.3k points

1 Answer

7 votes

Final answer:

To find the area of the park on the map, use the scale provided. Set up a proportion and solve for the number of inches that represent 75 miles. The area of the park on the map is 15 square inches.

Step-by-step explanation:

To find the area of the park on the map, you need to use the scale given. The scale states that 1 inch represents 5 miles. Since the park is 75 square miles, you need to determine how many inches on the map represent 75 miles.

Since 1 inch represents 5 miles, you can set up the proportion as follows:
1 inch / 5 miles = x inches / 75 miles

Cross multiplying gives us:
5x = 1 * 75

Simplifying further, we get:
5x = 75
x = 15

So, 15 inches on the map represent a distance of 75 miles. Therefore, the area of the park on the map is 15 square inches.

User Serkan Durusoy
by
7.7k points