Answer:
35.5 square units
Explanation:
Separate the area into two parts.
The bottom part is almost a rectangle with the upper right corner missing. The other part is the triangle on the upper left.
Area of the almost rectangle part:
Find the area of the rectangle and subtract the small triangle missing on the upper right corner.
area of rectangle = length * width
area of rectangle = 8 * 4 = 32
missing small triangle has base 1 and height 1
area of triangle = base * height / 2
area of triangle = 1 * 1 /2 = 1/2
Area of the almost rectangle shape is 32 - 1/2 = 32 - 0.5 = 31.5 square units.
Now we calculate the area of the triangle on the upper left.
base = 2; height = 4
area = base*height/2 = 2 * 4 / 2 = 4 square units
Total area = 31.5 square units + 4 square units = 35.5 square units