Tiling a Room Tile Mart is selling new T-shaped ceramic tiles as shown in the figure...

Tiling a Room Tile Mart is selling new T-shaped ceramic tiles as shown in the figure. Each tile is 3 ft long and 2 ft wide, and covers four square ft.

a. Is it possible to tile completely an 8-ft × 8-ft room with these T-shaped tiles? No cutting, breaking, or overlapping of the tiles is allowed. Explain.

b. Is it possible to tile a 6-ft × 6-ft room with these tiles?