The number sentence that shows how the distributive property can be used to represent the area of the entire rectangle (both rectangles together) is:
(9⋅6)+(9⋅11)
This expression represents the area of two rectangles: one with a length of 9 and a width of 6, and another with a length of 9 and a width of 11. The distributive property allows us to break down the area into the sum of the areas of the two rectangles.