What is the area of this L-shaped floor?

Split it with a vertical cut: left part $5\times 6=30$ sq m; right part is 4 m wide and 6 − 2 = 4 m tall, so $4\times 4=16$ sq m. Total = 30 + 16 = 46 sq m. Check: whole box $9\times 6=54$, minus the missing corner $4\times 2=8$, gives 46. (54 forgets to remove the corner.)