Answer:
See explanation
Step-by-step explanation:
The distibutive property states that for all real numbers a, b and c
[tex](a+b)c=ac+bc[/tex]
Draw a rectangle with length of (a+b) units and width of c units. The area of this rectangle is
[tex](a+b)c\ un^2.[/tex]
Divide this rectangle into two rectangles: first rectangle with the length of a units and the width of c units and the second rectangle with the length of b units and the width of c units. The area of these rectangles are
[tex]a\cdot c\ \text{and}\ b\cdot c[/tex]
These two rectangles together form initial rectangle, so the sum of the area of two smaller rectangles is the area of the bigger rectangle.
