# A skateboard retailer has two locations in a city that are identified on a map by the coordinates (12,20) and (6,12).  ?

a) How far apart are the two stores?

b) If the owner opens a new store halfway between the two locations, where are the coordinates of the new store

Relevance

These are the steps to find the distance between two sets of coordinates.

1. Take the absolute difference between the two X points 12 and 6 which is 6.

2. Square 6 = 36

3. Take the absolute difference between the two Y points 20 and 12 which is 8.

4. Square 8 = 64

5.  ADD 36 + 64 =  100

6.  Take the Square Root of 100 = 10

The distance between the two point is 10.

To find the mid point follow these steps:

1. Add the two X points and divide by 2.    12+6 = 18   18/2 = 9

2. Add the two Y points and divide by 2.     20+12 = 32   32/2 = 16

The mid point is (9,16)

• You have not stated what the scale of the map is. Without that data, how far apart the 2 stars are cannot be calculated because of insufficient information. The coordinates half way between would bye (6,8). 12 - 6 = 6, 20 - 12 = 8.

Source(s): B.S. physical geography, B.S. and M.S. in geology