The area of the shaded region (Polygon ABCDE) on the graph is 48 square units.
To find the area of Polygon ABCDE on the graph, we can divide it into two smaller shapes: triangle ABE and rectangle BCDE.
Triangle ABE
The base of triangle ABE is 8 units (the difference between the x-coordinates of points A and E), and the height is 6 units (the difference between the y-coordinates of points A and B). Therefore, the area of triangle ABE is:
(1/2) * base * height = (1/2) * 8 * 6 = 24 square units
Rectangle BCDE
The base of rectangle BCDE is 6 units (the difference between the x-coordinates of points B and D), and the height is 4 units (the difference between the y-coordinates of points B and C). Therefore, the area of rectangle BCDE is:
base * height = 6 * 4 = 24 square units
Total area
The total area of Polygon ABCDE is the sum of the areas of triangle ABE and rectangle BCDE:
24 square units + 24 square units = 48 square units