Area of room =13×9=117m²
=1170000cm²
Width of carpet =75cm.
Total area of room is equal to total area of carpet.
Total area of carpet=1170000cm²
Length of carpet to get an area of 1170000 with 75cm width
=1170000÷75
=15600cm
=156m
Rate of carpet os ₹105/m
Total cost of carpet=105×156=₹16380