9514 1404 393
Answer:
31 square inches
Step-by-step explanation:
You can divide the shape into pieces several ways. The total area will be the sum of the areas of the pieces.
If we draw a horizontal line across the figure 2 inches up from the bottom, the figure is divided into a triangle and two rectangles.
The triangle has a base of 8 -3-2 = 3 inches, and a height of 4 -2 = 2 inches. Its area is ...
A = (1/2)(3 in)(2 in) = 3 in²
The rectangle below the line has a base of 8 inches and a height of 2 inches. Its area is ...
A = bh = (8 in)(2 in) = 16 in²
The rectangle above the line has a base of 3 inches and a height of 4 inches. Its area is ...
A = bh = (3 in)(4 in) = 12 in²
Then the total area of the figure is ...
(3 + 16 + 12) in² = 31 in² . . . . the area of the figure
