Which number sentence shows how the distributive property can be used to represent the area of the entire rectangle (both rectangles together)?
(1 point)
Responses
(9+6)⋅(9+11)
9⋅6⋅11
11(6+9)
(9⋅6)+(9⋅11)
(9⋅6)+(9⋅11)
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)
The distributive property states that when multiplying a sum by a number, you can distribute the multiplication to each term in the sum. In the context of this question, we want to represent the area of the entire rectangle by using the distributive property.
To find the area of a rectangle, we multiply its length by its width. In this case, we have two rectangles, with lengths of 9 and 6, and widths of 9 and 11.
To represent the area of both rectangles together, we can use the distributive property to distribute the multiplication of the lengths to each term in the sum of the widths. This can be written as:
(9+6)⋅(9+11)
In this expression, we are multiplying the sum of the lengths (9+6) by the sum of the widths (9+11).
So, the number sentence that shows how the distributive property can be used to represent the area of the entire rectangle is (9+6)⋅(9+11).