The area of the figure can be found by adding the area of 4 rectangles, as shown below:
The area (A) of a rectangle (R) whose sides are "a" and "b" is A = ab.
So, let's find the areas of each rectangle.
Finding A1:
The measure of the sides of rectangle 1 is 8 and 16.
Then,
A1 = 8*16
A1 = 128 square units
Finding A2:
The measure of the sides of rectangle 2 is 12 (24 - 12) and 16.
Then,
A1 = 12*16
A1 = 192 square units
Finding A3:
The measure of the sides of rectangle 3 is 8 (16 - 8) and 12.
Then,
A3 = 8*12
A3 = 96 square units
Finding A4:
The measure of the sides of rectangle 4 is 12 and 4.
Then,
A4 = 12*4
A4 = 48 square units
The area of the figure is A = A1 + A2 + A3+ A4
A = 128 + 196 + 96 + 48
A = 464 square units.
Answer: The area is 464 square units.