Answer:
See below and learn
Step-by-step explanation:
To solve the figure. You need to split the shape up with the lines shown.
Let's solve the top triangle first.
The formula to find the area of a triangle is y = 1/2(b*h)
So the base is 2+2+6 which equals 10. And the height is 4.
So y = 1/2(4*10)
PEMDAS solve parentheses first.
y = 1/2(40)
y = [tex]20cm^{2}[/tex]
Now solve the bottom left one.
y = 1/2(2*2)
y = 1/2(4)
y = [tex]2cm^{2}[/tex]
Now the bottom right triangle.
y = 1/2(6*2)
y = 1/2(12)
y = [tex]6cm^{2}[/tex]
And to solve area of a square is
y = b*h
y = 2*2
y = [tex]4cm^{2}[/tex]
And add all of it up to get
y = [tex]20cm^{2}+2cm^{2} +6cm^{2} +4cm^{2} = 32cm^{2}[/tex]
Area = [tex]32cm^{2}[/tex]
