How can you determine the possible locations for the mall?

Question

A new mall is to be built to serve the towns of Sunnyvale and Bloomington., whose centers are 6 miles apart. The developers want to locate the mall not more than 3 miles from the center of Sunnyvale and also not more than 5 miles from the center of Gloomington. Draw a simple map showing Sunnyvale, Bloomington, and all potential locations for the new mall, based on the given information. Be sure to show the scale of your map. Explain how you determined the possible locations for the mall. 

Answer 1

I don't have a good software package to produce the drawing, but

1) pick two points 6 units apart

2) label one Sunnyvale and draw a circle with a radius of 3 units around it.

3) label the other Bloomington and draw a circle of radius 5 units around it.

 

The intersection of the two circles is the zone where you will consider building your mall.

 

Whatever units you used for your diagram, 1 unit = 1 mile