Answer: [tex]96ft^2[/tex]
Step-by-step explanation:
We have a composite figure. We have a rectangle and a triangle. Calculate each of these figures' areas individually and add them together.
Rectangle:
length=10ft
width=8ft
[tex]Formula:A=l*w\\A=(10ft)(8ft)\\A=80ft^2[/tex]
----------------------------------------------------------
Triangle:
base: 4ft
height: 8ft
[tex]A=\frac{hb}{2}[/tex]
[tex]A=\frac{(8ft)(4ft)}{2}[/tex]
[tex]A=\frac{32ft^2}{2}[/tex]
[tex]A=16ft^2[/tex]
-------------------------------------------------------------
Add them:
[tex]80ft^2+16ft^2=96ft^2[/tex]
