Step 1: Determine the dimensions of the first rectangle. The top-left corner of the first rectangle is $(5, 9)$. The top-right corner of the first rectangle is $(12, 9)$. The width of the rectangle is the difference in x-coordinates: $$ \text{Width} = 12 - 5 = 7 $$ The point $(12, 3)$ is given, which is the bottom-right corner of the first rectangle. The height of the rectangle is the difference in y-coordinates: $$ \text{Height} = 9 - 3 = 6 $$ Step 2: Determine the coordinates of point A. Point A is the bottom-right corner of the first rectangle. From the given information, this point is $(12, 3)$. $$ A = (12, 3) $$ Step 3: Determine the coordinates of point B. The problem states that the two rectangles are identical. This means the second rectangle also has a width of 7 units and a height of 6 units. Point A $(12, 3)$ is the top-left corner of the second rectangle. To find the coordinates of point B, which is the bottom-right corner of the second rectangle: The x-coordinate of B will be the x-coordinate of A plus the width: $$ x_B = 12 + 7 = 19 $$ The y-coordinate of B will be the y-coordinate of A minus the height (since the rectangle extends downwards from A): $$ y_B = 3 - 6 = -3 $$ So, the coordinates of point B are $(19, -3)$. $$ B = (19, -3) $$ The coordinates are: A is $\boxed{(12, 3)}$ B is $\boxed{(19, -3)}$ For the second part of the question: n stands for a whole number. n is greater than 30, which means $n > 30$. n is less than 100, which means $n < 100$. Combining these conditions, we have $30 < n < 100$. Since n is a whole number (non-negative integer), the possible values for n are integers strictly between 30 and 100. The numbers that n stands for are $31, 32, 33, \dots, 99$.