Question

The scale of a map is 1inch = 200 miles . what actual distance in miles does 3/8inch represent?​

Answer 1

A 3/8 inch measurement on a map with a scale of 1 inch to 200 miles represents an actual distance of 75 miles. This is found by setting up a proportion and multiplying the scale distance by 3/8.

Step-by-step explanation:

To determine the actual distance in miles that a 3/8 inch measure on a map represents when the scale is 1 inch equals 200 miles, we set up a proportion. The map scale tells us that 1 inch on the map is equivalent to 200 miles in the real world. To find the distance that 3/8 inch represents, you would set up the following proportion:

1 inch / 200 miles = 3/8 inch / x miles

Now we can solve for x, which represents the actual distance:

x = (200 miles) * (3/8 inch)

x = 600 miles / 8

x = 75 miles

Therefore, a 3/8 inch measure on the map is equivalent to an actual distance of 75 miles.