Answer:
48 mi²
Explanation:
Extending the center vertical line to the bottom edge of the figure causes it to divide the figure into two rectangles. One is 7 mi high by 4 mi wide; the other is 2 mi high by (14 -4) = 10 mi wide.
The area of each is the product of its height and width, so the total area is ...
A = (7 mi)(4 mi) +(2 mi)(10 mi) = 28 mi² +20 mi² = 48 mi²
The area of the given geometric figure is 48 mi².