Final answer:
The area of the rectangle is 8 square units.
Step-by-step explanation:
To find the area of a rectangle, we can use the formula:
Area = Length x Width
Using the given coordinates of the vertices, we can determine the length and width of the rectangle. The length is the distance between (1,2) and (5,0), which is 4 units. The width is the distance between (2,6) and (2,4), which is 2 units. Therefore, the area of the rectangle is:
Area = 4 units x 2 units = 8 square units