Question

Find the area of the shape shown below.

Answer 1

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: $s^2$, where s = side
• $\frac{a+b}{2}h$, where a and b = top and bottom and h = height

3. Solving Area of Square and Trapezoid

• $4^2 = 4 * 4 = 16$. Area of square is 16
• $\frac{4+2}{2}*4 = \frac{6}{2} * 4 = 3 * 4 = 12$. Area of trapezoid is 12.
• 16 + 12 = 28

Therefore, the area of the figure is 28 units^2.