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

5(3x + 7)
5(3x + 7)

5⋅3⋅7
5 times 3 times 7

(5+3)⋅(5+7)
open paren 5 plus 3 close paren times open paren 5 plus 7 close paren

(5⋅3)+(5⋅7)
open paren 5 times 3 close paren plus open paren 5 times 7 close paren
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Answer 1

The correct number sentence that shows how the distributive property can be used to represent the area of the entire rectangle (both rectangles together) is:

(5⋅3)+(5⋅7)

This represents taking the area of each rectangle separately (5 times 3 for one and 5 times 7 for the other) and then adding them together, which applies the distributive property.