Question

Find the area of the shape shown below.

Answer 1

28 units^2

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
• 
  `(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
• 
  `(4+2)/(2)*4 = (6)/(2) * 4 = 3 * 4 = 12`. Area of trapezoid is 12.
• 16 + 12 = 28

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