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

3 answers

The distributive property can be used to represent the area of the entire rectangle, by multiplying the sum of the lengths by the sum of the widths of both rectangles.

The number sentence that represents this is:

(A + B) x (C + D)
The height is 5 for height for both squares, then the length of one square is 3, then the other one has a length of 7
In that case, if the height of both squares is 5, and one square has a length of 3 while the other square has a length of 7, the number sentence representing the area of the entire rectangle, using the distributive property, would be:

(3 + 7) × (5 + 5) = 10 × 10 = 100

So, the area of the entire rectangle would be 100 square units.