Answer:
28 units^2
Step-by-step explanation:
1. First, let's divide this figure into two shapes: a square and a trapezoid. (Look at the image below explanation for division).
2. Next, we should know the area formulas of the square and trapezoid.
- Square: [tex]s^2[/tex], where s = side
- [tex]\frac{a+b}{2}h[/tex], where a and b = top and bottom and h = height
3. Solving Area of Square and Trapezoid
- [tex]4^2 = 4 * 4 = 16[/tex]. Area of square is 16
- [tex]\frac{4+2}{2}*4 = \frac{6}{2} * 4 = 3 * 4 = 12[/tex]. Area of trapezoid is 12.
- 16 + 12 = 28
Therefore, the area of the figure is 28 units^2.
