Answer and Step-by-step explanation:
First, let's split the figure into two common shapes that we know the area formula for.
The top shape can become a triangle, while the bottom shape can become a rectangle.
We know the area of a triangle is
[tex]A = \frac{bh}{2}[/tex]
and the area of a rectangle is
A = lw
Where:
A = Area
b = Base length (length)
h = Height
l = Longer length of a side
w = Smaller length of a side
Area of a Triangle:
b = 3
h = 3
A = [tex]\frac{3 * 3}{2}[/tex]
A = 4.5
Area of a Rectangle:
w = 3
l = 8
A = 3 × 8
A = 24
Now we add together the areas to get the area of the figure.
Area of the Figure:
A = 4.5 + 24
A = 28.5
The area of the figure is 28.5 [tex]units^{2}[/tex].
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