9514 1404 393
Answer:
40 square units
Explanation:
The area can be considered as that of two trapezoids, a rectangle, and a triangle. The total area is the sum of the areas of these.
Draw two horizontal lines, one beginning at the left-most point, and another 2 units below that. Draw a vertical line segment extending the vertical line at the top down to the first horizontal line. Now the figure is divided as described above.
The upper left trapezoid has bases of 3 and 5, and a height of 4. Its area is ...
A = 1/2(b1 +b2)h
A = (1/2)(3 +5)(4) = 16
The trapezoid between the two horizontal lines has bases of 8 and 7, and a height of 2. Its area is ...
A = (1/2)(8 +7)(2) = 15
The rectangle at upper right has a base of 2 and a height of 3. Its area is ...
A = bh
A = 2(3) = 6
The triangle at the bottom has a base of 3 and a height of 2. Its area is ...
A = 1/2bh
A = 1/2(3)(2) = 3
Then the total area of all of these pieces is ...
Area = 16 +15 +6 +3 = 40 . . . . square units