explain why 1/2 of Region A is larger tha n 1/2 of Region B.
Region A has 12 horizontal sets of squares while Region B has 12 vertical sets of squares.
Does region A have larger squares?
How many squares are in a "set"? You have only told us how many sets there are.
Region A has the same set as Region B whether it's in vertical or horizontal position.
So what is the answer?
explain why 1/2 of region 8 is not large then 1/2 of region B
To understand why 1/2 of Region A is larger than 1/2 of Region B, we need to consider the dimensions and layout of both regions.
Let's start with Region A. You mentioned that it consists of 12 horizontal sets of squares. So, if we imagine the squares arranged horizontally in rows, there would be a total of 12 rows. Since these rows are horizontal, each row would extend across the entire breadth of the region. Therefore, the width of Region A would be the same as the width of each row.
Now, let's move on to Region B. You mentioned that it consists of 12 vertical sets of squares. If we imagine the squares arranged vertically in columns, there would be a total of 12 columns. Since these columns are vertical, each column would extend from the top to the bottom of the region. Therefore, the height of Region B would be the same as the height of each column.
Given this information, it becomes clear that the width of Region A (which is the same as the width of each row) is larger than the height of Region B (which is the same as the height of each column). This is because the rows of Region A extend across its entire breadth, while the columns of Region B only extend from top to bottom. Since the width of Region A is greater than the height of Region B, when we compare 1/2 of each region, 1/2 of Region A would have a larger area than 1/2 of Region B.