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Find the area of the shape shown below.

Find The Area Of The Shape Shown Below class=

Sagot :

renknee

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.

View image renknee
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