Answer:
42 un^2
Explanation:
You can split the hexagon into 2 triangles and a rectangle. For this, I will use the triangle that goes from (-5, 2) to (2, 2) to (-1, 4), the triangle that goes from (-5, -2) to (2, -2) to (-2, -4), and the rectangle that goes from (-5, 2) to (-5, -2) to (2, -2) to (2, 2). The top triangle is 7 units by 2 units, so using triangle formula, you get 7*2/2 = 7. The rectangle is 4 by 7, so you get 4*7=28, and the bottom triangle is 7 units by 2 units (identical to top triangle) so you get 7. 28+7+7=42 units^2