Answer:
21
Step-by-step explanation:
Remark
Draw a line across the east and west farthest points. If you count the lower left point as 0,0, I am talking about 1,6 and 7,6 What that does is divide the figure into a triangle and a trapezoid.
Triangle
The base goes from x = 1 to x = 7 when that new line is introduced which is 6 units parallel to the x axis.
The height goes from 4,4 to 4,6 which is 2 units in the y direction.
So the area = 1/2 (2)*(6) = 6 units.
Trapezoid.
h = 3 derived from 4,3 to 4,6 which is 3 points 6 - 3 = 3
b1 = 6 That's the line you just drew in.
b2 = 4 That comes from 2,3 to 6,3 6-2 = 4
Area = 1/2 (b1 + b2) * h
Area = 1/2 (6 + 4)* 3
Area = 5 * 3 = 15
Total Area = 15 + 6 = 21
