Question

the rectangle is divided into two smaller rectangles. show how the sum of the areas of the two smaller rectangles is equal to the sum of the larger rectangle. explain your reasoning by using pictures, numbers or words.

Answer 1

Since we are just dividing the rectangle into two small rectangles, we are not changing the size of the original rectangle. The two smaller rectangles still add up to the big rectangle, therefore the sum of the areas of the two smaller rectangles is equal to the sum of the larger rectangle.