Which number sentence shows how the distributive property can be used to represent the area of the entire rectangle (both rectangles together)?
left side = 9
left bottom =6
right bottom =11
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)
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).
(9⋅6)+(9⋅11)
To represent the area of the entire rectangle using the distributive property, you would use the number sentence: (9⋅6)+(9⋅11).
Here's an explanation of how this number sentence represents the area:
- The left side of the rectangle has a length of 9.
- The left bottom of the rectangle has a width of 6.
- The right bottom of the rectangle has a width of 11.
To find the area of the entire rectangle, you would calculate the area of the left side and the area of the right bottom separately, and then add them together.
The area of the left side is given by 9 multiplied by 6, which is 54.
The area of the right bottom is given by 9 multiplied by 11, which is 99.
By using the distributive property, you can represent the area of the entire rectangle as (9⋅6)+(9⋅11), which simplifies to 54+99, equal to 153.