2022 AMC 8

Solution 1 (A quick solution)

We can see that there are 4 whole squares, since the area of each square will be , . Next, there are half squares, and half squares is whole square, so whole squares. The area of this will be . Finally, we can add the numbers: .

Solution 2

Draw the following four lines as shown:

We see these lines split the figure into five squares with side length . Thus, the area is