We want to build a small commercial center whose plane is drawn below. The mall store should consist of eight equal rectangular (identified with a T), each one with a surface or area 150mt∧2. The central corridor and the entrance must have 6mt. wide. The concrete walls are marked on the map with double lines and lines divided represent glass divisions. What should the outside dimensions be of this center for the construction cost to be minimum as possible?

Data:
1. The construction wall costs is $ 40 a meter.
2. The glass divisions cost are $ 100 per linear meter.
3. It is already considered in these costs a 5mt height necessary to have in the center.