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

1 answer

Let's assume that the length of the larger rectangle is 'a' and the width is 'b'.

The area of the larger rectangle is given by a * b.

Now, let's assume that the lengths of the smaller rectangles are 'c' and 'd', and the widths are 'e' and 'f'.

The area of the smaller rectangles are given by c * e and d * f.

To find the area of the entire rectangle (both rectangles together), we can use the distributive property as follows:

Area of entire rectangle = (a * b) + (c * e + d * f)

This shows how the distributive property can be used to represent the area of the entire rectangle.