Which number sentence shows how the distributive property can be used to represent the area of the entire rectangle (both rectangles together)?

Question

(1 point)
Responses

(9+6)⋅(9+11)
open paren 9 plus 6 close paren times open paren 9 plus 11 close paren

9⋅6⋅11
9 times 6 times 11

11(6+9)
11 times open paren 6 plus 9 close paren

(9⋅6)+(9⋅11)

Answer 1

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 indicates that you can break down the area of the larger rectangle into the area of two smaller rectangles: one with dimensions 9 (width) and 6 (height), and the other with dimensions 9 (width) and 11 (height). The distributive property allows us to combine these areas to find the total area of the larger rectangle.