The answer is 90.5sq Kilometers, or 181/2sq kilometers.
Explanation:
The figure can be split into 3 smaller shapes; a rectangle a square and a triangle.
The rectangle's area is found by multiplying its width by its height:
6 x 8 = 48sq km.
The square's area is found by multiplying its width and height:
2 x 2 = 4sq km.
The triangle's area can be found using the formula (base x height) / 2. The height is given as 7km, the base is given as 8 plus an unknown amount. That unknown amount can be found by noticing that the length of the top 6km of the top rectangle plus the 2km distance of the top of the small square add up to the same distance as the 5km side plus the unknown amount.
From this, we see that 6 + 2 = 5 + unknown distance, so the unknown distance must be 3 (8 = 5 + 3).
Now by adding this 3km to the known 8km of the triangles base, we get a base of 11km.
From here we use the formula (base x height) / 2 to find the triangle's area:
(11 x 7) / 2 = 77/2 = 38.5sq km.
Now by adding up every separate shapes area, we get the final area of the figure.
38.5 + 48 + 4 = 90.5sq km.