Problem $3(15$ pts$)$

In the plan shown below.

$($a$)$ what types of grids are used? $(3$ points$)$

$($b$)$ What techniques are used to modify or combine those grids? Name or point to the space$/$region on the plan where each technique is used. Identify at least three techniques.

$($Note: for example, scaling technique is used for the master bedroom as shown by a red circle$)(12$ points$)$