Answer:
324 ft²
Step-by-step explanation:
We have the triangle and the rectangle.
The formula of an area of a triangle:
[tex]A_{\triangle}=\dfrac{1}{2}bh[/tex]
b - base
h - height
The formula of an area of a rectangle:
[tex]A_{\boxed{\ }}=lw[/tex]
l - length
w - width
We have b = 24 ft, h = 7 ft, l = 24 ft and w = 10 ft.
Substitute:
[tex]A_\triangle=\dfrac{1}{2}(24)(7)=(12)(7)=84\ ft^2[/tex]
[tex]A_{\boxed{\ }}=(24)(10)=240\ ft^2[/tex]
The area of the figure:
[tex]A=A_{\triangle}+A_{\boxed{\ }}[/tex]
Substitute:
[tex]A=84+240=324\ ft^2[/tex]
